Pith Number

pith:COKIEQI2

pith:2010:COKIEQI23LH5CS73PDOJQXNFMV

not attested not anchored not stored refs pending

A study of blow-ups in the Keller-Segel model of chemotaxis

Ibrahim Fatkullin

arxiv:1006.4978 v2 · 2010-06-25 · math.AP · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COKIEQI23LH5CS73PDOJQXNFMV}

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	2026-05-18T03:33:14.447811Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

139482411adacfd14bfb78dc985da56566dd7e654e422efbc7c562a2799a2c9b

Aliases

arxiv: 1006.4978 · arxiv_version: 1006.4978v2 · doi: 10.48550/arxiv.1006.4978 · pith_short_12: COKIEQI23LH5 · pith_short_16: COKIEQI23LH5CS73 · pith_short_8: COKIEQI2

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/COKIEQI23LH5CS73PDOJQXNFMV \
  | 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: 139482411adacfd14bfb78dc985da56566dd7e654e422efbc7c562a2799a2c9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0ea8c7f3947ea19bda62a570e81ccfc1d679fcfd04a8ef97fd8e2c63c10ac5d",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-06-25T12:38:32Z",
    "title_canon_sha256": "d21a23ea929706c9f674be2edf90ded11e99c20a3900add46e21b969f654445d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4978",
    "kind": "arxiv",
    "version": 2
  }
}