Pith Number

pith:2INVBXFB

pith:2009:2INVBXFB32V6NFEX37IRGNUNNL

not attested not anchored not stored refs pending

Five types of blow-up in a semilinear fourth-order reaction-diffusion equation: an analytic-numerical approach

V.A. Galaktionov

arxiv:0901.4307 v1 · 2009-01-27 · 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{2INVBXFB32V6NFEX37IRGNUNNL}

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	2026-05-18T02:14:55.584862Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d21b50dca1deabe69497dfd113368d6ac49c62046c89f3f460d3c5bcb8800400

Aliases

arxiv: 0901.4307 · arxiv_version: 0901.4307v1 · doi: 10.48550/arxiv.0901.4307 · pith_short_12: 2INVBXFB32V6 · pith_short_16: 2INVBXFB32V6NFEX · pith_short_8: 2INVBXFB

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/2INVBXFB32V6NFEX37IRGNUNNL \
  | 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: d21b50dca1deabe69497dfd113368d6ac49c62046c89f3f460d3c5bcb8800400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f19d98dc0292d28944484f3a5af72295be3f5d7d603e0ffc2bf5c80ef582f67c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-01-27T18:29:49Z",
    "title_canon_sha256": "0fee39c88c35a481f46500a986ae1895055baba62b1e153de62ce8c27726c020"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.4307",
    "kind": "arxiv",
    "version": 1
  }
}