Pith Number

pith:W4BYXOCQ

pith:2010:W4BYXOCQHQZXJLTZPYVUFTWUQ2

not attested not anchored not stored refs pending

On a nonlinear heat equation associated with Dirichlet -- Robin conditions

Alain Pham Ngoc Dinh (MAPMO), Le Thi Phuong Ngoc, Nguyen Thanh Long (UNS-HCMC), Nguyen Van Y (UNS-HCMC)

arxiv:1010.4444 v1 · 2010-10-21 · 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{W4BYXOCQHQZXJLTZPYVUFTWUQ2}

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	2026-05-18T04:38:58.646135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7038bb8503c3374ae797e2b42ced4868963d16215b5cf5a0fc2a10872456004

Aliases

arxiv: 1010.4444 · arxiv_version: 1010.4444v1 · doi: 10.48550/arxiv.1010.4444 · pith_short_12: W4BYXOCQHQZX · pith_short_16: W4BYXOCQHQZXJLTZ · pith_short_8: W4BYXOCQ

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/W4BYXOCQHQZXJLTZPYVUFTWUQ2 \
  | 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: b7038bb8503c3374ae797e2b42ced4868963d16215b5cf5a0fc2a10872456004

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27dbec7b75405551d7abcab2a830dd52fb287fd8df2aee335ceff829602933f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-21T11:53:06Z",
    "title_canon_sha256": "730a983d09d31b38eef9bda30edfd1f073325dcd3f71044191c029e5eea70f57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4444",
    "kind": "arxiv",
    "version": 1
  }
}