Pith Number

pith:VVZ4DNIP

pith:2011:VVZ4DNIPMGXQ676VBGRMUKVWAH

not attested not anchored not stored refs pending

A general fractional porous medium equation

Ana Rodr\'iguez, Arturo de Pablo, Fernando Quir\'os, Juan Luis V\'azquez

arxiv:1104.0306 v1 · 2011-04-02 · 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{VVZ4DNIPMGXQ676VBGRMUKVWAH}

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	2026-05-18T04:25:04.259513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad73c1b50f61af0f7fd509a2ca2ab601cd1f5fa80f7ecb6382b5fa47ea22b794

Aliases

arxiv: 1104.0306 · arxiv_version: 1104.0306v1 · doi: 10.48550/arxiv.1104.0306 · pith_short_12: VVZ4DNIPMGXQ · pith_short_16: VVZ4DNIPMGXQ676V · pith_short_8: VVZ4DNIP

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/VVZ4DNIPMGXQ676VBGRMUKVWAH \
  | 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: ad73c1b50f61af0f7fd509a2ca2ab601cd1f5fa80f7ecb6382b5fa47ea22b794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "edce3479efdd9f3a8fd320184262dd0459d6d4b9f246cbbaecfd31685e680329",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-04-02T09:16:17Z",
    "title_canon_sha256": "d7e6ad49cb6f90ecd1951fd32e2614c732205e20705bc3e1f7f71f8921ac1cec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0306",
    "kind": "arxiv",
    "version": 1
  }
}