Pith Number

pith:XN4GI5DL

pith:2025:XN4GI5DL46JX6D3BR4L6IXIZY3

not attested not anchored not stored refs pending

SET! From Groups to Games

Andrey Boris Khesin, Tanya Khovanova

arxiv:2507.11235 v1 · 2025-07-15 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XN4GI5DL46JX6D3BR4L6IXIZY3}

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	2026-07-05T11:37:35.356416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb7864746be7937f0f618f17e45d19c6c7be6529cf52759264232740756df9be

Aliases

arxiv: 2507.11235 · arxiv_version: 2507.11235v1 · doi: 10.48550/arxiv.2507.11235 · pith_short_12: XN4GI5DL46JX · pith_short_16: XN4GI5DL46JX6D3B · pith_short_8: XN4GI5DL

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/XN4GI5DL46JX6D3BR4L6IXIZY3 \
  | 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: bb7864746be7937f0f618f17e45d19c6c7be6529cf52759264232740756df9be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e231c06496c674e7bfc09a6468e90a681254bb9c98432fd6edcd58bb100d7c10",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2025-07-15T12:04:29Z",
    "title_canon_sha256": "1c30ff37e615ef7a9e92752f74e0c6ac1cc2c7b82bedfacb02d1a018e15786b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.11235",
    "kind": "arxiv",
    "version": 1
  }
}