Pith Number

pith:UGSKPRHS

pith:2011:UGSKPRHSNLTEYN2DOXLXA4HERK

not attested not anchored not stored refs pending

An Evolution Model of Complex Systems with Simultaneous Cooperation and Competition

Chun-Hua Fu, Da-Ren He, Hui Chang, Xiu-Lian Xu

arxiv:1101.0406 v1 · 2011-01-02 · physics.soc-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{UGSKPRHSNLTEYN2DOXLXA4HERK}

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	2026-05-18T02:04:15.904552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1a4a7c4f26ae64c374375d77070e48a944d0a57dc18b582b3d6a8868e38373e

Aliases

arxiv: 1101.0406 · arxiv_version: 1101.0406v1 · doi: 10.48550/arxiv.1101.0406 · pith_short_12: UGSKPRHSNLTE · pith_short_16: UGSKPRHSNLTEYN2D · pith_short_8: UGSKPRHS

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/UGSKPRHSNLTEYN2DOXLXA4HERK \
  | 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: a1a4a7c4f26ae64c374375d77070e48a944d0a57dc18b582b3d6a8868e38373e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0606ba29065638fd8c837c8be6cffb75e154ebafa3c7e7db041826c9e7df6d2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-01-02T13:58:55Z",
    "title_canon_sha256": "f295ab9e2722d394d486d525921d7f819eb05f1af68ce3067d35c85a05247873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0406",
    "kind": "arxiv",
    "version": 1
  }
}