Pith Number

pith:VTF7PBZB

pith:2016:VTF7PBZBFQH5GJNKFW5ZR7I6ZV

not attested not anchored not stored refs pending

p-Adic Analogue of the Porous Medium Equation

Anatoly N. Kochubei, Andrei Yu. Khrennikov

arxiv:1611.08863 v2 · 2016-11-27 · math.AP · math-ph · math.MP · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VTF7PBZBFQH5GJNKFW5ZR7I6ZV}

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	2026-05-18T00:41:07.711155Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

accbf787212c0fd325aa2dbb98fd1ecd669942544af2037dc0f842b9545527c5

Aliases

arxiv: 1611.08863 · arxiv_version: 1611.08863v2 · doi: 10.48550/arxiv.1611.08863 · pith_short_12: VTF7PBZBFQH5 · pith_short_16: VTF7PBZBFQH5GJNK · pith_short_8: VTF7PBZB

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/VTF7PBZBFQH5GJNKFW5ZR7I6ZV \
  | 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: accbf787212c0fd325aa2dbb98fd1ecd669942544af2037dc0f842b9545527c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c208709fdea44eff3c77e8e402950b00bb3f03688a63888dfe6983985e70408",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-11-27T15:28:50Z",
    "title_canon_sha256": "33ef65b97f9bd8ea34c6830c8eeff531fe5569f7fb889a0790890acd967418d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.08863",
    "kind": "arxiv",
    "version": 2
  }
}