Pith Number

pith:TMVUOMDJ

pith:2013:TMVUOMDJ5TSRKBIWGJXISTE7KY

not attested not anchored not stored refs pending

The Ekedahl Invariants for finite groups

Ivan Martino

arxiv:1312.0476 v5 · 2013-12-02 · math.AG · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TMVUOMDJ5TSRKBIWGJXISTE7KY}

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	2026-05-18T01:35:20.837500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b2b473069ece5150516326e894c9f5609aa5cb216cecbb339f310a2459fd23e

Aliases

arxiv: 1312.0476 · arxiv_version: 1312.0476v5 · doi: 10.48550/arxiv.1312.0476 · pith_short_12: TMVUOMDJ5TSR · pith_short_16: TMVUOMDJ5TSRKBIW · pith_short_8: TMVUOMDJ

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/TMVUOMDJ5TSRKBIWGJXISTE7KY \
  | 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: 9b2b473069ece5150516326e894c9f5609aa5cb216cecbb339f310a2459fd23e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3a14a68b4c66fe14660f5b533e819cf5992afce6c7bdc0d297e2a7988c5047f",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-02T14:48:58Z",
    "title_canon_sha256": "27d9f6978f153acc2f19954f68ae078f5aaa6c01ae87edcb8bbaf02809d481a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.0476",
    "kind": "arxiv",
    "version": 5
  }
}