Pith Number

pith:ZRBEWCQN

pith:2013:ZRBEWCQN3MP2NGWERIQGZFY256

not attested not anchored not stored refs pending

Waves and distributions connected to systems of interacting populations

Kaloyan N. Vitanov, Nikolay K. Vitanov, Zlatinka I. Dimitrova

arxiv:1304.1164 v1 · 2013-04-02 · math-ph · math.MP · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZRBEWCQN3MP2NGWERIQGZFY256}

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	2026-05-18T03:29:04.351016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc424b0a0ddb1fa69ac48a206c971aefa56ea7a774c41e1e40b152e462fe3591

Aliases

arxiv: 1304.1164 · arxiv_version: 1304.1164v1 · doi: 10.48550/arxiv.1304.1164 · pith_short_12: ZRBEWCQN3MP2 · pith_short_16: ZRBEWCQN3MP2NGWE · pith_short_8: ZRBEWCQN

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/ZRBEWCQN3MP2NGWERIQGZFY256 \
  | 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: cc424b0a0ddb1fa69ac48a206c971aefa56ea7a774c41e1e40b152e462fe3591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e414407b65bff99e0fce13b4a0b3abcd96e4e1f0ad85b5ca09b031045db53ba",
    "cross_cats_sorted": [
      "math.MP",
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-04-02T17:15:46Z",
    "title_canon_sha256": "d84987707dcd223247e726eee052f6e2bdc310eb9f21f96ff48d56fd42549161"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1164",
    "kind": "arxiv",
    "version": 1
  }
}