Pith Number

pith:UR2Z7QO2

pith:2011:UR2Z7QO2HIFVX42YM32QKPKVFE

not attested not anchored not stored refs pending

The Finitary Andrews-Curtis Conjecture

Alexander Lubotzky, Alexandre V. Borovik, Alexei G. Myasnikov

arxiv:1103.1295 v1 · 2011-03-07 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UR2Z7QO2HIFVX42YM32QKPKVFE}

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	2026-05-18T04:27:16.715305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4759fc1da3a0b5bf35866f5053d55290daf0bdea6f7c975d15320046400af28

Aliases

arxiv: 1103.1295 · arxiv_version: 1103.1295v1 · doi: 10.48550/arxiv.1103.1295 · pith_short_12: UR2Z7QO2HIFV · pith_short_16: UR2Z7QO2HIFVX42Y · pith_short_8: UR2Z7QO2

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/UR2Z7QO2HIFVX42YM32QKPKVFE \
  | 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: a4759fc1da3a0b5bf35866f5053d55290daf0bdea6f7c975d15320046400af28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e55a2194c81e779fc8a4a7c608d066f0d1d88d0cc3aadf70b4e634f2f20311b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-03-07T15:19:29Z",
    "title_canon_sha256": "2de62a16677c560158552b50740ef89958cd4e019e6f6ce09c55c637a12a11ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1295",
    "kind": "arxiv",
    "version": 1
  }
}