Pith Number

pith:MCA2MHQM

pith:2011:MCA2MHQMPNCPJUDIKZCMEQGZ3P

not attested not anchored not stored refs pending

Effect of depreciation of the public goods in spatial public goods games

Bing-Hong Wang, Dong-Mei Shi, Yong Zhuang

arxiv:1104.0151 v1 · 2011-04-01 · physics.soc-ph · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MCA2MHQMPNCPJUDIKZCMEQGZ3P}

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	2026-05-18T02:02:41.526134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6081a61e0c7b44f4d0685644c240d9dbd7365fc6f4d54f80917067194d4eb68c

Aliases

arxiv: 1104.0151 · arxiv_version: 1104.0151v1 · doi: 10.48550/arxiv.1104.0151 · pith_short_12: MCA2MHQMPNCP · pith_short_16: MCA2MHQMPNCPJUDI · pith_short_8: MCA2MHQM

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/MCA2MHQMPNCPJUDIKZCMEQGZ3P \
  | 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: 6081a61e0c7b44f4d0685644c240d9dbd7365fc6f4d54f80917067194d4eb68c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c13f28e91d1f9c01d7560cbe90adb960f93d7a01110a5ed570e460e77c6f57b4",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-04-01T12:09:06Z",
    "title_canon_sha256": "a2b321ee8440313c2dfe7aa218dc2ab73b12ae6906ce7e4f41dc14aaf0da135c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0151",
    "kind": "arxiv",
    "version": 1
  }
}