Pith Number

pith:JI5NN6BR

pith:2011:JI5NN6BRFZ2ID6ESXXO4RPTJEF

not attested not anchored not stored refs pending

On the validity of formal asymptotic expansions in Allen-Cahn equation and FitzHugh-Nagumo system with generic initial data

Hiroshi Matano (GSMS), Matthieu Alfaro (I3M)

arxiv:1111.3540 v1 · 2011-11-15 · 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{JI5NN6BRFZ2ID6ESXXO4RPTJEF}

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	2026-05-18T04:08:13.944273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a3ad6f8312e7481f892bdddc8be69214c63894c9844eafe130c19d93e9e0712

Aliases

arxiv: 1111.3540 · arxiv_version: 1111.3540v1 · doi: 10.48550/arxiv.1111.3540 · pith_short_12: JI5NN6BRFZ2I · pith_short_16: JI5NN6BRFZ2ID6ES · pith_short_8: JI5NN6BR

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/JI5NN6BRFZ2ID6ESXXO4RPTJEF \
  | 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: 4a3ad6f8312e7481f892bdddc8be69214c63894c9844eafe130c19d93e9e0712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c571e8c6ac4ccd9d7975723887e9631d9f963b36b95218d973aa68aa1e2bffb8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-15T14:48:39Z",
    "title_canon_sha256": "098623302b1919af55e8b51ac219437ec541ee3cf375bf48f430f06dfce6c9c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3540",
    "kind": "arxiv",
    "version": 1
  }
}