Pith Number

pith:ZCUO6JBH

pith:2013:ZCUO6JBHCLDSLKZYYP2D4IXYP6

not attested not anchored not stored refs pending

The increased efficiency of fish swimming in a school

C.K. Hemelrijk, D.A.P. Reid, H. Hildenbrandt, J.T. Padding

arxiv:1307.7282 v1 · 2013-07-27 · q-bio.QM · physics.bio-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZCUO6JBHCLDSLKZYYP2D4IXYP6}

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	2026-05-18T03:17:23.729119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8a8ef242712c725ab38c3f43e22f87fa17e6826f110054ddc7b590ac08c8f5d

Aliases

arxiv: 1307.7282 · arxiv_version: 1307.7282v1 · doi: 10.48550/arxiv.1307.7282 · pith_short_12: ZCUO6JBHCLDS · pith_short_16: ZCUO6JBHCLDSLKZY · pith_short_8: ZCUO6JBH

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/ZCUO6JBHCLDSLKZYYP2D4IXYP6 \
  | 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: c8a8ef242712c725ab38c3f43e22f87fa17e6826f110054ddc7b590ac08c8f5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bf595ab8e854549cd9a17e749030735a69ab6368c16a413cb7e95c421429ed8",
    "cross_cats_sorted": [
      "physics.bio-ph",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2013-07-27T17:04:51Z",
    "title_canon_sha256": "422bcba034d7804a006fb495f18de70411dd967b4707b20c7009dd6f74610e19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.7282",
    "kind": "arxiv",
    "version": 1
  }
}