Pith Number

pith:AIOEY7OM

pith:2012:AIOEY7OMORNDSYTU4PNWOEU7XF

not attested not anchored not stored refs pending

Asymptotic expansions of the solutions of the Cauchy problem for nonlinear parabolic equations

Kazuhiro Ishige, Tatsuki Kawakami

arxiv:1202.1037 v1 · 2012-02-06 · 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{AIOEY7OMORNDSYTU4PNWOEU7XF}

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	2026-05-18T02:49:54.311681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

021c4c7dcc745a396274e3db67129fb95fc523c008e65c8ed772f5d5046779b1

Aliases

arxiv: 1202.1037 · arxiv_version: 1202.1037v1 · doi: 10.48550/arxiv.1202.1037 · pith_short_12: AIOEY7OMORND · pith_short_16: AIOEY7OMORNDSYTU · pith_short_8: AIOEY7OM

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/AIOEY7OMORNDSYTU4PNWOEU7XF \
  | 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: 021c4c7dcc745a396274e3db67129fb95fc523c008e65c8ed772f5d5046779b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea1734a1742ca59356d133101105d4759536373ed739dad39f0ce234ff9dba90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-06T02:34:10Z",
    "title_canon_sha256": "9ad3d9db85cf411fb28b57c6c0b0115b8160e6d12493909b81d4201be7c9c2ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1037",
    "kind": "arxiv",
    "version": 1
  }
}