Pith Number

pith:JB3D7YWX

pith:2009:JB3D7YWXZYSV6ABU5F7NBJVM3A

not attested not anchored not stored refs pending

The one-dimensional Keller-Segel model with fractional diffusion of cells

Nikolaos Bournaveas, Vincent Calvez (DMA)

arxiv:0906.4538 v1 · 2009-06-24 · 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{JB3D7YWXZYSV6ABU5F7NBJVM3A}

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	2026-05-18T02:13:12.914285Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48763fe2d7ce255f0034e97ed0a6acd81595a2e94d80d8af237a12373b5370dc

Aliases

arxiv: 0906.4538 · arxiv_version: 0906.4538v1 · doi: 10.48550/arxiv.0906.4538 · pith_short_12: JB3D7YWXZYSV · pith_short_16: JB3D7YWXZYSV6ABU · pith_short_8: JB3D7YWX

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/JB3D7YWXZYSV6ABU5F7NBJVM3A \
  | 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: 48763fe2d7ce255f0034e97ed0a6acd81595a2e94d80d8af237a12373b5370dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea4c77e1457ccd2d439db2bd91df96da6224766d4d182f517767729aba059d8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-06-24T18:36:32Z",
    "title_canon_sha256": "2c5280f27c6a5e64d10a50092f60c6185a4febdd3f8d3eb21ca0c1ce23e745d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4538",
    "kind": "arxiv",
    "version": 1
  }
}