Pith Number

pith:O7BWGEVK

pith:2012:O7BWGEVKWNIT6CXIHVFER3SPPO

not attested not anchored not stored refs pending

A semilinear parabolic-elliptic chemotaxis system with critical mass in any space dimension

Alexandre Montaru

arxiv:1210.4497 v2 · 2012-10-16 · 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{O7BWGEVKWNIT6CXIHVFER3SPPO}

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	2026-05-18T01:53:54.144676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77c36312aab3513f0ae83d4a48ee4f7bad14006cd3d796f3e2e5ba8fd4558f97

Aliases

arxiv: 1210.4497 · arxiv_version: 1210.4497v2 · doi: 10.48550/arxiv.1210.4497 · pith_short_12: O7BWGEVKWNIT · pith_short_16: O7BWGEVKWNIT6CXI · pith_short_8: O7BWGEVK

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/O7BWGEVKWNIT6CXIHVFER3SPPO \
  | 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: 77c36312aab3513f0ae83d4a48ee4f7bad14006cd3d796f3e2e5ba8fd4558f97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "830e241677e69332c98df35d81722d4f55d7bcafb17268e2c1176b9b8383efc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-10-16T17:09:10Z",
    "title_canon_sha256": "3a4dc7c4ba3cca6d69cb35a053e181020f1192176bcdb442b0ac0cc164759ad2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4497",
    "kind": "arxiv",
    "version": 2
  }
}