Pith Number

pith:XPP6DNFU

pith:2011:XPP6DNFUEEYLGS33XZN7IH3XGK

not attested not anchored not stored refs pending

A gradient flow approach to a thin film approximation of the Muskat problem

Bogdan-Vasile Matioc, Philippe Laurencot (IMT)

arxiv:1110.6262 v1 · 2011-10-28 · 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{XPP6DNFUEEYLGS33XZN7IH3XGK}

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	2026-05-18T03:14:50.408280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbdfe1b4b42130b34b7bbe5bf41f77328dee8484199210a39dae44d52f6c4e74

Aliases

arxiv: 1110.6262 · arxiv_version: 1110.6262v1 · doi: 10.48550/arxiv.1110.6262 · pith_short_12: XPP6DNFUEEYL · pith_short_16: XPP6DNFUEEYLGS33 · pith_short_8: XPP6DNFU

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/XPP6DNFUEEYLGS33XZN7IH3XGK \
  | 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: bbdfe1b4b42130b34b7bbe5bf41f77328dee8484199210a39dae44d52f6c4e74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1076f4a211f2c0f1f98a3f2debdd0b77712615548bf7222d813dbd908c40ec7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-28T06:55:56Z",
    "title_canon_sha256": "662050b20e21c0584053a892a03ebe8c79220ea43e7b1a2cfc492fdd64f42280"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6262",
    "kind": "arxiv",
    "version": 1
  }
}