Pith Number

pith:M6KLQU7Y

pith:2009:M6KLQU7YFY3P7WW35F3YS3XAUB

not attested not anchored not stored refs pending

Critical mass phenomenon for a chemotaxis kinetic model with spherically symmetric initial data

Nikolaos Bournaveas, Vincent Calvez (DMA)

arxiv:0901.0503 v1 · 2009-01-05 · 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{M6KLQU7YFY3P7WW35F3YS3XAUB}

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	2026-05-18T02:15:03.332165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6794b853f82e36ffdadbe977896ee0a06cdd18b0c5d310f331ec115ad5aa38d0

Aliases

arxiv: 0901.0503 · arxiv_version: 0901.0503v1 · doi: 10.48550/arxiv.0901.0503 · pith_short_12: M6KLQU7YFY3P · pith_short_16: M6KLQU7YFY3P7WW3 · pith_short_8: M6KLQU7Y

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/M6KLQU7YFY3P7WW35F3YS3XAUB \
  | 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: 6794b853f82e36ffdadbe977896ee0a06cdd18b0c5d310f331ec115ad5aa38d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dedbc003fbdf64256c81eb5bf6f1d0440e6fe90e9d4c50ed7bb43f1dd90ba66e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-01-05T15:22:46Z",
    "title_canon_sha256": "e3659356a12f9ac207caf8fe13820fecd89b3aff6488093fdcb25993ee15a827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.0503",
    "kind": "arxiv",
    "version": 1
  }
}