Pith Number

pith:AULBA7XX

pith:2000:AULBA7XXOPBBVT5QUXT4NQ6N6E

not attested not anchored not stored refs pending

Theory of periodic swarming of bacteria: application to Proteus mirabilis

Andras Czirok, Mitsugu Matsushita, Tamas Vicsek

arxiv:physics/0007087 v1 · 2000-07-28 · physics.bio-ph · q-bio

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AULBA7XXOPBBVT5QUXT4NQ6N6E}

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	2026-05-18T01:05:15.256819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0516107ef773c21acfb0a5e7c6c3cdf10bfc25e6234c98214548732b058ca698

Aliases

arxiv: physics/0007087 · arxiv_version: physics/0007087v1 · doi: 10.48550/arxiv.physics/0007087 · pith_short_12: AULBA7XXOPBB · pith_short_16: AULBA7XXOPBBVT5Q · pith_short_8: AULBA7XX

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/AULBA7XXOPBBVT5QUXT4NQ6N6E \
  | 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: 0516107ef773c21acfb0a5e7c6c3cdf10bfc25e6234c98214548732b058ca698

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9de5f3c52433fd5ce98d1e63866ef68905c0e806ec4cc9911bc1b8f47dfb750d",
    "cross_cats_sorted": [
      "q-bio"
    ],
    "license": "",
    "primary_cat": "physics.bio-ph",
    "submitted_at": "2000-07-28T08:34:24Z",
    "title_canon_sha256": "38185686fc3d93db2ce4aa6b491eff290c758f7ad5682a74399e61b05241a973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0007087",
    "kind": "arxiv",
    "version": 1
  }
}