Pith Number

pith:QXPJI7J3

pith:2014:QXPJI7J3E7EDHMF6QP2BJLR7NV

not attested not anchored not stored refs pending

Utility Rate Equations of Group Population Dynamics in Biological and Social Systems

D. Sornette, E.P. Yukalova, V.I. Yukalov

arxiv:1401.1321 v1 · 2014-01-07 · physics.soc-ph · 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{QXPJI7J3E7EDHMF6QP2BJLR7NV}

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	2026-05-18T03:03:08.980140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85de947d3b27c833b0be83f414ae3f6d62bb5d381333fafcebd2ca22cfe5e193

Aliases

arxiv: 1401.1321 · arxiv_version: 1401.1321v1 · doi: 10.48550/arxiv.1401.1321 · pith_short_12: QXPJI7J3E7ED · pith_short_16: QXPJI7J3E7EDHMF6 · pith_short_8: QXPJI7J3

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/QXPJI7J3E7EDHMF6QP2BJLR7NV \
  | 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: 85de947d3b27c833b0be83f414ae3f6d62bb5d381333fafcebd2ca22cfe5e193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cf77f423a63b1c8d98d718402d29b152a129742f88704e4e5d9e9c16e97df68",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2014-01-07T09:33:30Z",
    "title_canon_sha256": "6baf6405a1a54cead38c07cbe63f7f165c18d7992edb527a75346b6d6a1d245f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1321",
    "kind": "arxiv",
    "version": 1
  }
}