Pith Number

pith:PCMEPY7Y

pith:2010:PCMEPY7YFVSS7VXAAPYG7PJ4DZ

not attested not anchored not stored refs pending

Nonlinear porous medium flow with fractional potential pressure

Juan L. Vazquez, Luis A. Caffarelli

arxiv:1001.0410 v2 · 2010-01-03 · 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{PCMEPY7YFVSS7VXAAPYG7PJ4DZ}

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	2026-05-18T02:10:05.556157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

789847e3f82d652fd6e003f06fbd3c1e758cdc3285c8196838d285df36d02e66

Aliases

arxiv: 1001.0410 · arxiv_version: 1001.0410v2 · doi: 10.48550/arxiv.1001.0410 · pith_short_12: PCMEPY7YFVSS · pith_short_16: PCMEPY7YFVSS7VXA · pith_short_8: PCMEPY7Y

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/PCMEPY7YFVSS7VXAAPYG7PJ4DZ \
  | 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: 789847e3f82d652fd6e003f06fbd3c1e758cdc3285c8196838d285df36d02e66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2d5971e3a57e52c752a692f9d671d173d386abc9f380fcd762ac3cc86eb10f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-01-03T21:08:28Z",
    "title_canon_sha256": "7f1937cfc1d596eb6e78eb28ead19fd087bef0c35f80a0fd70f76269ee438972"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0410",
    "kind": "arxiv",
    "version": 2
  }
}