Pith Number

pith:GM2BFVXJ

pith:2006:GM2BFVXJAGMZWSJTUEAUAP7KFK

not attested not anchored not stored refs pending

Blow-up in Nonlinear Heat Equations

I. M. Sigal, S. Dejak, S. Wang, Zhou Gang

arxiv:math/0609161 v2 · 2006-09-06 · math.AP · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GM2BFVXJAGMZWSJTUEAUAP7KFK}

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	2026-07-04T14:56:31.982517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

333412d6e901999b4933a101403fea2ab63176c16f967eec15faba7cda845d69

Aliases

arxiv: math/0609161 · arxiv_version: math/0609161v2 · doi: 10.48550/arxiv.math/0609161 · pith_short_12: GM2BFVXJAGMZ · pith_short_16: GM2BFVXJAGMZWSJT · pith_short_8: GM2BFVXJ

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/GM2BFVXJAGMZWSJTUEAUAP7KFK \
  | 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: 333412d6e901999b4933a101403fea2ab63176c16f967eec15faba7cda845d69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d97cd26edfbee13c78b276cd3a60a2faa6a9b626cdb3d7adc1284c150186dee9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-09-06T03:02:13Z",
    "title_canon_sha256": "17dcc8f01ca57300b5783b440411dbc44b9c9b038cc955997c61f04eb3fbfff1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609161",
    "kind": "arxiv",
    "version": 2
  }
}