Pith Number

pith:VICMN4WW

pith:2013:VICMN4WW2KCJ5C62JAIAVVSHMP

not attested not anchored not stored refs pending

Exact criterion for global existence and blow up to a degenerate Keller-Segel system

Jinhuan Wang, Li Chen

arxiv:1311.0150 v2 · 2013-11-01 · 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{VICMN4WW2KCJ5C62JAIAVVSHMP}

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	2026-05-18T03:05:57.352756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa04c6f2d6d2849e8bda48100ad64763f56ffcbb0ee4547c17ad09ec1f6e79be

Aliases

arxiv: 1311.0150 · arxiv_version: 1311.0150v2 · doi: 10.48550/arxiv.1311.0150 · pith_short_12: VICMN4WW2KCJ · pith_short_16: VICMN4WW2KCJ5C62 · pith_short_8: VICMN4WW

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/VICMN4WW2KCJ5C62JAIAVVSHMP \
  | 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: aa04c6f2d6d2849e8bda48100ad64763f56ffcbb0ee4547c17ad09ec1f6e79be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c27c50088d54aa3029ea3c859240c6ccb68a1f03d58308039a32dd3f98e89f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-11-01T11:46:42Z",
    "title_canon_sha256": "6437b93c988fd188d70b74a1f91940641fb28079dd5bf44d0139f145b01b5539"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0150",
    "kind": "arxiv",
    "version": 2
  }
}