Pith Number

pith:6R5RAAQ4

pith:2013:6R5RAAQ4G4L7TLBQ2FSD2DPTQC

not attested not anchored not stored refs pending

Splash singularities for the one-phase Muskat problem in stable regimes

Angel Castro, Charles Fefferman, Diego Cordoba, Francisco Gancedo

arxiv:1311.7653 v2 · 2013-11-29 · 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{6R5RAAQ4G4L7TLBQ2FSD2DPTQC}

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.

Receipt and verification

First computed	2026-05-18T02:27:44.839165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f47b10021c3717f9ac30d1643d0df3808cad66cd6bd368e77aadcd5794d72fa7

Aliases

arxiv: 1311.7653 · arxiv_version: 1311.7653v2 · doi: 10.48550/arxiv.1311.7653 · pith_short_12: 6R5RAAQ4G4L7 · pith_short_16: 6R5RAAQ4G4L7TLBQ · pith_short_8: 6R5RAAQ4

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/6R5RAAQ4G4L7TLBQ2FSD2DPTQC \
  | 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: f47b10021c3717f9ac30d1643d0df3808cad66cd6bd368e77aadcd5794d72fa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "797e4aa61c9b7678d17017d1d12843daaba3afc0d24041b3dcb9bb239b058d44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-29T18:09:04Z",
    "title_canon_sha256": "3dbfce2f9c059a928f5355983a4e4e46c9d4fa8e6654d80fd21b7f10720385b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7653",
    "kind": "arxiv",
    "version": 2
  }
}