Pith Number

pith:BXWD7QBT

pith:2015:BXWD7QBTIBYE2V2ME64D4WASP5

not attested not anchored not stored refs pending

The porous medium equation with measure data on negatively curved Riemannian manifolds

Fabio Punzo, Gabriele Grillo, Matteo Muratori

arxiv:1507.08883 v2 · 2015-07-31 · math.AP · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXWD7QBTIBYE2V2ME64D4WASP5}

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	2026-05-18T01:04:05.877268Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dec3fc03340704d574c27b83e58127f6b80f0fc6238bf37b8dbb093e1b21707

Aliases

arxiv: 1507.08883 · arxiv_version: 1507.08883v2 · doi: 10.48550/arxiv.1507.08883 · pith_short_12: BXWD7QBTIBYE · pith_short_16: BXWD7QBTIBYE2V2M · pith_short_8: BXWD7QBT

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/BXWD7QBTIBYE2V2ME64D4WASP5 \
  | 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: 0dec3fc03340704d574c27b83e58127f6b80f0fc6238bf37b8dbb093e1b21707

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92d270106f3969a597ef5c3796a23d0cb0bafed9885c523637b73442fa6cf7ca",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-31T13:58:46Z",
    "title_canon_sha256": "6d73b180e839522ba640b500c6748b54e2ec7f7565d93b10f8d66b2feec0a875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.08883",
    "kind": "arxiv",
    "version": 2
  }
}