Pith Number

pith:OE3TFHUM

pith:2017:OE3TFHUMAFNEHFQPZ3AOUCV32P

not attested not anchored not stored refs pending

Finitely Generated Groups Are Universal

Matthew Harrison-Trainor, Meng-Che Ho

arxiv:1712.00469 v1 · 2017-12-01 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OE3TFHUMAFNEHFQPZ3AOUCV32P}

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	2026-05-18T00:29:05.199312Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7137329e8c015a43960fcec0ea0abbd3f555fbe7e062046a6f9ff2b35af38c50

Aliases

arxiv: 1712.00469 · arxiv_version: 1712.00469v1 · doi: 10.48550/arxiv.1712.00469 · pith_short_12: OE3TFHUMAFNE · pith_short_16: OE3TFHUMAFNEHFQP · pith_short_8: OE3TFHUM

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/OE3TFHUMAFNEHFQPZ3AOUCV32P \
  | 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: 7137329e8c015a43960fcec0ea0abbd3f555fbe7e062046a6f9ff2b35af38c50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "941fc231a0a5a622d76d10542ed0695dc3bed8f420616c7b666b74607584fa55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-12-01T19:21:13Z",
    "title_canon_sha256": "82c85b5d07cca602776c46380801fb1dd99bc6c35d5d91073421b84f612f66e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00469",
    "kind": "arxiv",
    "version": 1
  }
}