Pith Number

pith:B4VYEF7D

pith:2021:B4VYEF7D5DLE4ZH3QPLICT24NT

not attested not anchored not stored refs pending

Dynamical reciprocity in interacting games: numerical results and mechanism analysis

Guozhong Zheng, Jiqiang Zhang, Li Chen, Lin Ma, Qinqin Wang, Rizhou Liang

arxiv:2102.00360 v2 · 2021-01-31 · physics.soc-ph · cond-mat.dis-nn · nlin.AO · 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{B4VYEF7D5DLE4ZH3QPLICT24NT}

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	2026-07-05T04:20:27.900369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f2b8217e3e8d64e64fb83d6814f5c6cdbab58cdc0e7998a476e96d287f728a9

Aliases

arxiv: 2102.00360 · arxiv_version: 2102.00360v2 · doi: 10.48550/arxiv.2102.00360 · pith_short_12: B4VYEF7D5DLE · pith_short_16: B4VYEF7D5DLE4ZH3 · pith_short_8: B4VYEF7D

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/B4VYEF7D5DLE4ZH3QPLICT24NT \
  | 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: 0f2b8217e3e8d64e64fb83d6814f5c6cdbab58cdc0e7998a476e96d287f728a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8af6362713774dda62ea7b9fd3ab5337580a2dbedba0c57589cec64cd4da9398",
    "cross_cats_sorted": [
      "cond-mat.dis-nn",
      "nlin.AO",
      "q-bio.PE"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2021-01-31T02:52:30Z",
    "title_canon_sha256": "39d44cf4b26d683187d488cb7402f3544b564d77f3c1e9744b88398c981594c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.00360",
    "kind": "arxiv",
    "version": 2
  }
}