Pith Number

pith:YMP2SFX5

pith:2008:YMP2SFX5MP7UPTFBVN7Y2QATXU

not attested not anchored not stored refs pending

Automorphism invariance and identities

Anton A. Klyachko, Evgenii I. Khukhro, Natalia Yu. Makarenko, Yulia B. Melnikova

arxiv:0812.1359 v2 · 2008-12-07 · math.GR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YMP2SFX5MP7UPTFBVN7Y2QATXU}

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	2026-05-18T04:41:36.872791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c31fa916fd63ff47cca1ab7f8d4013bd048c6d917a3ada79d7dfa70d5105fb57

Aliases

arxiv: 0812.1359 · arxiv_version: 0812.1359v2 · doi: 10.48550/arxiv.0812.1359 · pith_short_12: YMP2SFX5MP7U · pith_short_16: YMP2SFX5MP7UPTFB · pith_short_8: YMP2SFX5

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/YMP2SFX5MP7UPTFBVN7Y2QATXU \
  | 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: c31fa916fd63ff47cca1ab7f8d4013bd048c6d917a3ada79d7dfa70d5105fb57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a45731400945bc1ffb32309418284dd6a06baff0cb9845ebff66109f61bf8741",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-12-07T15:52:55Z",
    "title_canon_sha256": "f0d8d4a42e0771f4d965dc1cd72fda2d03c731b5d3ef7bd8b3c6018c0ecbe36b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1359",
    "kind": "arxiv",
    "version": 2
  }
}