Pith Number

pith:ODYDNDJY

pith:2013:ODYDNDJYUE4S6H6I44LJRIRH6T

not attested not anchored not stored refs pending

Global solutions of a Keller--Segel system with saturated logarithmic sensitivity function

Qi Wang

arxiv:1312.0253 v3 · 2013-12-01 · 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{ODYDNDJYUE4S6H6I44LJRIRH6T}

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	2026-05-18T02:03:48.575071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70f0368d38a1392f1fc8e71698a227f4e55d5acfd957fec9ea87c88c90562a22

Aliases

arxiv: 1312.0253 · arxiv_version: 1312.0253v3 · doi: 10.48550/arxiv.1312.0253 · pith_short_12: ODYDNDJYUE4S · pith_short_16: ODYDNDJYUE4S6H6I · pith_short_8: ODYDNDJY

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/ODYDNDJYUE4S6H6I44LJRIRH6T \
  | 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: 70f0368d38a1392f1fc8e71698a227f4e55d5acfd957fec9ea87c88c90562a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a77d7c4a335d35bb10ebbe5137307d27af911d950171c00f22cc192cd36393d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-12-01T17:53:44Z",
    "title_canon_sha256": "7a81ba3cddd5c3255a4cfae0c0a89049ae1e9e5d16d17a0ae570a2ecceabc642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0253",
    "kind": "arxiv",
    "version": 3
  }
}