Pith Number

pith:SX2J2VFF

pith:2017:SX2J2VFFCSHAVGCR4LX7WXTTJW

not attested not anchored not stored refs pending

Public goods games in populations with fluctuating size

Alex McAvoy, Christoph Hauert, John Wakeley, Martin A. Nowak, Nicolas Fraiman

arxiv:1709.03630 v2 · 2017-09-12 · 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{SX2J2VFFCSHAVGCR4LX7WXTTJW}

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	2026-05-18T00:23:16.727427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95f49d54a5148e0a9851e2effb5e734db7816c8ac038f357261617e664fcdd8d

Aliases

arxiv: 1709.03630 · arxiv_version: 1709.03630v2 · doi: 10.48550/arxiv.1709.03630 · pith_short_12: SX2J2VFFCSHA · pith_short_16: SX2J2VFFCSHAVGCR · pith_short_8: SX2J2VFF

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/SX2J2VFFCSHAVGCR4LX7WXTTJW \
  | 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: 95f49d54a5148e0a9851e2effb5e734db7816c8ac038f357261617e664fcdd8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "744d87f3c75b06ca317d5394c976397294a8e27ba9395e253a5722b2052f7e2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2017-09-12T00:10:01Z",
    "title_canon_sha256": "17eb188efcb5415a24e6f759561d2c4649fe7a4f0aa37d7e19a189eaa8e1f174"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03630",
    "kind": "arxiv",
    "version": 2
  }
}