Pith Number

pith:7I3OCU37

pith:2024:7I3OCU37PBXTIQ624SL4STDDNJ

not attested not anchored not stored refs pending

Finite time blow-up in a 1D model of the incompressible porous media equation

Alexander Kiselev, Naji A. Sarsam

arxiv:2412.16376 v2 · 2024-12-20 · 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{7I3OCU37PBXTIQ624SL4STDDNJ}

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

1 paper in Pith

Receipt and verification

First computed	2026-07-05T10:58:21.756000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa36e1537f786f3443dae497c94c636a4c0c1bac26c55f3afaae4479123be5a9

Aliases

arxiv: 2412.16376 · arxiv_version: 2412.16376v2 · doi: 10.48550/arxiv.2412.16376 · pith_short_12: 7I3OCU37PBXT · pith_short_16: 7I3OCU37PBXTIQ62 · pith_short_8: 7I3OCU37

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/7I3OCU37PBXTIQ624SL4STDDNJ \
  | 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: fa36e1537f786f3443dae497c94c636a4c0c1bac26c55f3afaae4479123be5a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94edba5061283c804fa2b22f1cd78d273d7229ac660260b22e12364d1cf365a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-20T22:24:14Z",
    "title_canon_sha256": "0f61cb534c989e5795fc1ae5ec3fd8cb414786e3160b4e352799eaada2e89bdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16376",
    "kind": "arxiv",
    "version": 2
  }
}