Pith Number

pith:B7ZCULGO

pith:2019:B7ZCULGO2ZPSRZX2TEVZN2U3XC

not attested not anchored not stored refs pending

A cell-cell repulsion model on a hyperbolic Keller-Segel equation

Pierre Magal, Quentin Griette, Xiaoming Fu

arxiv:1907.11091 v1 · 2019-07-25 · 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{B7ZCULGO2ZPSRZX2TEVZN2U3XC}

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	2026-05-17T23:39:33.518869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ff22a2cced65f28e6fa992b96ea9bb8ae73473bee904cfa4980d36342145f06

Aliases

arxiv: 1907.11091 · arxiv_version: 1907.11091v1 · doi: 10.48550/arxiv.1907.11091 · pith_short_12: B7ZCULGO2ZPS · pith_short_16: B7ZCULGO2ZPSRZX2 · pith_short_8: B7ZCULGO

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/B7ZCULGO2ZPSRZX2TEVZN2U3XC \
  | 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: 0ff22a2cced65f28e6fa992b96ea9bb8ae73473bee904cfa4980d36342145f06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1396b9d069441f95a03d43a217eadf5031ba07d06d6a4e4526196e8ba62fb2aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-25T14:22:18Z",
    "title_canon_sha256": "efe89f7c4cd22b097ba8dd4660a5d6e7df13b5540bf6ad43cdd59726d9aec0b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.11091",
    "kind": "arxiv",
    "version": 1
  }
}