Pith Number

pith:A32QKW5T

pith:2014:A32QKW5TBHPSI6X7I5JI5RSVLP

not attested not anchored not stored refs pending

New Approach to Modeling Symbiosis in Biological and Social Systems

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

arxiv:1408.0111 v1 · 2014-08-01 · q-bio.PE · physics.bio-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A32QKW5TBHPSI6X7I5JI5RSVLP}

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	2026-05-18T01:42:26.398013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f5055bb309df247aff47528ec6555bee71d8d53541e681496e57d37a0f9352

Aliases

arxiv: 1408.0111 · arxiv_version: 1408.0111v1 · doi: 10.48550/arxiv.1408.0111 · pith_short_12: A32QKW5TBHPS · pith_short_16: A32QKW5TBHPSI6X7 · pith_short_8: A32QKW5T

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/A32QKW5TBHPSI6X7I5JI5RSVLP \
  | 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: 06f5055bb309df247aff47528ec6555bee71d8d53541e681496e57d37a0f9352

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fba81f45cd90bacf9b04f192e90c3571e0d2e7c86b5d8eac488d7e2306d6d49",
    "cross_cats_sorted": [
      "physics.bio-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2014-08-01T09:32:58Z",
    "title_canon_sha256": "002c1ea1bfd871083344f657e4f3e375fbe09e06843fc4927cab4824647086b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.0111",
    "kind": "arxiv",
    "version": 1
  }
}