Pith Number

pith:2QEWBJWP

pith:2015:2QEWBJWPM5YH5OEK4P33AMHRBZ

not attested not anchored not stored refs pending

Boundedness in a Keller-Segel system with external signal production

Tobias Black

arxiv:1507.07400 v1 · 2015-07-27 · 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{2QEWBJWPM5YH5OEK4P33AMHRBZ}

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	2026-05-18T00:17:35.950208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d40960a6cf67707eb88ae3f7b030f10e72b6d4ebf2e42d70ff1e859f96a80a88

Aliases

arxiv: 1507.07400 · arxiv_version: 1507.07400v1 · doi: 10.48550/arxiv.1507.07400 · pith_short_12: 2QEWBJWPM5YH · pith_short_16: 2QEWBJWPM5YH5OEK · pith_short_8: 2QEWBJWP

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/2QEWBJWPM5YH5OEK4P33AMHRBZ \
  | 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: d40960a6cf67707eb88ae3f7b030f10e72b6d4ebf2e42d70ff1e859f96a80a88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8b21864f1014b99921db124d2d835884a94611c90ebad31b4e5476507970a74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-27T13:36:29Z",
    "title_canon_sha256": "9576d9bdf7400cb08b468d6cfac7b2c5dc1e3ba440face0ff15dfd7748c0d64e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07400",
    "kind": "arxiv",
    "version": 1
  }
}