Pith Number

pith:ZWX7R47E

pith:2024:ZWX7R47EWK2H6UKPQB5BXUAT2B

not attested not anchored not stored refs pending

Finite time singularities of smooth solutions for the 2D incompressible porous media (IPM) equation with a smooth source

Diego C\'ordoba, Luis Mart\'inez-Zoroa

arxiv:2410.22920 v3 · 2024-10-30 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWX7R47EWK2H6UKPQB5BXUAT2B}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Vorticity blow-up for the 2D incompressible non-homogeneous Euler equations with uniform $C^{1,\sqrt{\frac{4}{3}}-1-\varepsilon}$ force

Asymptotically Self-Similar Blowup for 3D Incompressible Euler with $C^{1, 1/3-}$ Velocity II: 3D Profiles, Blowup, and Limiting behavior

Receipt and verification

First computed	2026-07-05T10:13:44.454292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdaff8f3e4b2b47f514f807a1bd013d04c3a1a80409d67f4a274ed2a5180f826

Aliases

arxiv: 2410.22920 · arxiv_version: 2410.22920v3 · doi: 10.48550/arxiv.2410.22920 · pith_short_12: ZWX7R47EWK2H · pith_short_16: ZWX7R47EWK2H6UKP · pith_short_8: ZWX7R47E

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZWX7R47EWK2H6UKPQB5BXUAT2B \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cdaff8f3e4b2b47f514f807a1bd013d04c3a1a80409d67f4a274ed2a5180f826

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd0473ae2d805b96d739715178ef04ac7c5acd1c8645bd40cea0216b5771bb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-10-30T11:23:33Z",
    "title_canon_sha256": "5cc88f644a9d0ddbb391d1dca21c0386d5d4670046fda1a06ad69e210aeca6a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.22920",
    "kind": "arxiv",
    "version": 3
  }
}