Pith Number

pith:B7TK5MXF

pith:2010:B7TK5MXF5UHE4HLFMPAFJXWNJT

not attested not anchored not stored refs pending

Refined asymptotics for the infinite heat equation with homogeneous Dirichlet boundary conditions

Christian Stinner, Philippe Laurencot (IMT)

arxiv:1004.4418 v1 · 2010-04-26 · 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{B7TK5MXF5UHE4HLFMPAFJXWNJT}

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	2026-05-18T04:10:09.183694Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fe6aeb2e5ed0e4e1d6563c054decd4ce08c94c947b2d94ee170efc241ad2d8d

Aliases

arxiv: 1004.4418 · arxiv_version: 1004.4418v1 · doi: 10.48550/arxiv.1004.4418 · pith_short_12: B7TK5MXF5UHE · pith_short_16: B7TK5MXF5UHE4HLF · pith_short_8: B7TK5MXF

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/B7TK5MXF5UHE4HLFMPAFJXWNJT \
  | 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: 0fe6aeb2e5ed0e4e1d6563c054decd4ce08c94c947b2d94ee170efc241ad2d8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48a707ba79cff4801af9fd4e546c1f36adc7aadad8e6b8137e811e14e72c8911",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-04-26T07:06:04Z",
    "title_canon_sha256": "4fe3bc1f3cf6b927c2c327890d76b8607bf5433a3621f7f1ae30de74ecb7612e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4418",
    "kind": "arxiv",
    "version": 1
  }
}