Pith Number

pith:ZJBNJUIU

pith:2026:ZJBNJUIUS6R4RJIGPU36QYYAS5

not attested not anchored not stored refs pending

A model of local and global reciprocity

Joshua B. Plotkin, Mari Kawakatsu, Taylor A. Kessinger, Yohsuke Murase

arxiv:2606.13678 v1 · 2026-06-11 · physics.soc-ph · 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{ZJBNJUIUS6R4RJIGPU36QYYAS5}

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	2026-06-12T01:10:23.034833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca42d4d11497a3c8a5067d37e863009771ae8f22485344101fd348421a87bcbb

Aliases

arxiv: 2606.13678 · arxiv_version: 2606.13678v1 · doi: 10.48550/arxiv.2606.13678 · pith_short_12: ZJBNJUIUS6R4 · pith_short_16: ZJBNJUIUS6R4RJIG · pith_short_8: ZJBNJUIU

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/ZJBNJUIUS6R4RJIGPU36QYYAS5 \
  | 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: ca42d4d11497a3c8a5067d37e863009771ae8f22485344101fd348421a87bcbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319f27ba3724dbfd2837b9490ecd3aaaf16cd9a33e60eb85300f75cad2edc57c",
    "cross_cats_sorted": [
      "q-bio.PE"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-06-11T17:59:49Z",
    "title_canon_sha256": "00ce723fef1e04832676a9700078c324f6a254d175a609b71b8c2d737f692621"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13678",
    "kind": "arxiv",
    "version": 1
  }
}