Pith Number

pith:BXWR3ZBQ

pith:2012:BXWR3ZBQPOND7YZNFB4CV22OLN

not attested not anchored not stored refs pending

Steady states with unbounded mass of the Keller-Segel system

Angela Pistoia, Giusi Vaira

arxiv:1211.1900 v1 · 2012-11-08 · 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{BXWR3ZBQPOND7YZNFB4CV22OLN}

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	2026-05-18T03:41:13.264743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ded1de4307b9a3fe32d28782aeb4e5b6982e837020004e7abb1ff77ee93eaa5

Aliases

arxiv: 1211.1900 · arxiv_version: 1211.1900v1 · doi: 10.48550/arxiv.1211.1900 · pith_short_12: BXWR3ZBQPOND · pith_short_16: BXWR3ZBQPOND7YZN · pith_short_8: BXWR3ZBQ

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/BXWR3ZBQPOND7YZNFB4CV22OLN \
  | 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: 0ded1de4307b9a3fe32d28782aeb4e5b6982e837020004e7abb1ff77ee93eaa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a427616ca2f7178e4896bcc8087309086d9ad5d216f23794cf635089e083a24d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-08T16:50:22Z",
    "title_canon_sha256": "6ff0813b0de36ef03c72ec49cf6ed41f8264e29dd7e7fcfa3034d8715c6c4537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1900",
    "kind": "arxiv",
    "version": 1
  }
}