Pith Number

pith:VHHOBLXY

pith:2018:VHHOBLXY2YL2OL7QIPEDOFAVS4

not attested not anchored not stored refs pending

Concentration waves of chemotactic bacteria: the discrete velocity case

Laurent Gosse (IAC), Monika Twarogowska (UMPA-ENSL), Vincent Calvez (ICJ)

arxiv:1811.07563 v1 · 2018-11-19 · 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{VHHOBLXY2YL2OL7QIPEDOFAVS4}

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	2026-05-18T00:00:24.080116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9cee0aef8d617a72ff043c8371415970cd7865c16fecb9288d882125983f77c

Aliases

arxiv: 1811.07563 · arxiv_version: 1811.07563v1 · doi: 10.48550/arxiv.1811.07563 · pith_short_12: VHHOBLXY2YL2 · pith_short_16: VHHOBLXY2YL2OL7Q · pith_short_8: VHHOBLXY

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/VHHOBLXY2YL2OL7QIPEDOFAVS4 \
  | 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: a9cee0aef8d617a72ff043c8371415970cd7865c16fecb9288d882125983f77c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d8e3de0cfd63dbb3e015b071ed997af90b7d5645545ad667a2e4e76a84294a2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-19T09:04:09Z",
    "title_canon_sha256": "167338264b5141b84f2dd8bd614a43232b22f9810c29982b421b04d6aed3c69b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07563",
    "kind": "arxiv",
    "version": 1
  }
}