Pith Number

pith:A4PN2BHI

pith:2016:A4PN2BHICRQBZRIMNH7QCM3T3L

not attested not anchored not stored refs pending

Chemotactic waves of bacteria at the mesoscale

Vincent Calvez

arxiv:1607.00429 v1 · 2016-07-01 · math.AP · cond-mat.soft

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A4PN2BHICRQBZRIMNH7QCM3T3L}

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	2026-05-18T01:11:37.092424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

071edd04e814601cc50c69ff013373daf0c95d54ccaeb9155fcb9f1665e36c7c

Aliases

arxiv: 1607.00429 · arxiv_version: 1607.00429v1 · doi: 10.48550/arxiv.1607.00429 · pith_short_12: A4PN2BHICRQB · pith_short_16: A4PN2BHICRQBZRIM · pith_short_8: A4PN2BHI

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/A4PN2BHICRQBZRIMNH7QCM3T3L \
  | 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: 071edd04e814601cc50c69ff013373daf0c95d54ccaeb9155fcb9f1665e36c7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1a19ed4a5d41478b4b1a204efe4f5fd16dbb6cb06ed8b7b0c2699d8ae1edaab",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-07-01T22:54:45Z",
    "title_canon_sha256": "26b7af93818bf927cc9222feb43f70ac14dd19a927142ef27e8ba143722e44f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.00429",
    "kind": "arxiv",
    "version": 1
  }
}