Pith Number

pith:IRZBWUGF

pith:2014:IRZBWUGFJIMJYMX4ITS3PQMWK2

not attested not anchored not stored refs pending

All finitely presented groups are QSF

Valentin Poenaru

arxiv:1409.7325 v1 · 2014-09-25 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IRZBWUGFJIMJYMX4ITS3PQMWK2}

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	2026-05-18T02:41:58.661753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44721b50c54a189c32fc44e5b7c19656bf37832ef226903f989165efc5045a1d

Aliases

arxiv: 1409.7325 · arxiv_version: 1409.7325v1 · doi: 10.48550/arxiv.1409.7325 · pith_short_12: IRZBWUGFJIMJ · pith_short_16: IRZBWUGFJIMJYMX4 · pith_short_8: IRZBWUGF

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/IRZBWUGFJIMJYMX4ITS3PQMWK2 \
  | 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: 44721b50c54a189c32fc44e5b7c19656bf37832ef226903f989165efc5045a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0970bbc1c7e6c67c06b2b826ee260d8dfb5dfcf6cb760a1318fdd946388f9d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-25T16:57:45Z",
    "title_canon_sha256": "69825337d542e311afce50b84b527733f91d610adae06527a57501ee8b9e0d15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7325",
    "kind": "arxiv",
    "version": 1
  }
}