Pith Number

pith:5P6Y6OBF

pith:2009:5P6Y6OBFQS4WWNADDQXHZZ7XZF

not attested not anchored not stored refs pending

Phasefield theory for fractional diffusion-reaction equations and applications

Cyril Imbert (CEREMADE), Panagiotis E. Souganidis

arxiv:0907.5524 v1 · 2009-07-31 · 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{5P6Y6OBFQS4WWNADDQXHZZ7XZF}

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.

Cited by

1 paper in Pith

Fractional multi-phase transitions and nonlocal minimal partitions

Receipt and verification

First computed	2026-07-04T15:47:08.611860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebfd8f382584b96b34031c2e7ce7f7c94f69c44df61f67b0ac2ef1a62346f394

Aliases

arxiv: 0907.5524 · arxiv_version: 0907.5524v1 · doi: 10.48550/arxiv.0907.5524 · pith_short_12: 5P6Y6OBFQS4W · pith_short_16: 5P6Y6OBFQS4WWNAD · pith_short_8: 5P6Y6OBF

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/5P6Y6OBFQS4WWNADDQXHZZ7XZF \
  | 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: ebfd8f382584b96b34031c2e7ce7f7c94f69c44df61f67b0ac2ef1a62346f394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca1a67dc2735a6f5e82b4b9cb3a19974b3f1a654c832370d2ce269cdba807e2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-07-31T12:41:48Z",
    "title_canon_sha256": "c5744a68321a2949741b47bceab1daaf91c729d8d23325fac12ad39f90c52718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.5524",
    "kind": "arxiv",
    "version": 1
  }
}