Pith Number

pith:Q6T6IST2

pith:2013:Q6T6IST2AJLMJYLUNJ2ZA7MVVM

not attested not anchored not stored refs pending

The abelian monoid of fusion-stable finite sets is free

Sune Precht Reeh

arxiv:1302.4628 v4 · 2013-02-19 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q6T6IST2AJLMJYLUNJ2ZA7MVVM}

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	2026-05-18T01:26:32.136648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a7e44a7a0256c4e1746a75907d95ab148bdbdf7c680297e50ff192523bc0af

Aliases

arxiv: 1302.4628 · arxiv_version: 1302.4628v4 · doi: 10.48550/arxiv.1302.4628 · pith_short_12: Q6T6IST2AJLM · pith_short_16: Q6T6IST2AJLMJYLU · pith_short_8: Q6T6IST2

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/Q6T6IST2AJLMJYLUNJ2ZA7MVVM \
  | 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: 87a7e44a7a0256c4e1746a75907d95ab148bdbdf7c680297e50ff192523bc0af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62b255a689d7e840850bd535c0ed26750bbee80ace1ab7369d152a2233234ada",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-19T14:52:11Z",
    "title_canon_sha256": "10b8a3775fb0e0d53f55bbc67ab4e94153db42f0f9663f861b360635094c8652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4628",
    "kind": "arxiv",
    "version": 4
  }
}