Pith Number

pith:UBMGGSSO

pith:2013:UBMGGSSONOCJH5QVDKO25IC2NI

not attested not anchored not stored refs pending

Ordering the space of finitely generated groups

Anna Erschler, Laurent Bartholdi

arxiv:1301.4669 v1 · 2013-01-20 · 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{UBMGGSSONOCJH5QVDKO25IC2NI}

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	2026-05-18T01:24:33.495869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a058634a4e6b8493f6151a9daea05a6a1bf0b5ed2af8c78c7afbba8ba914625a

Aliases

arxiv: 1301.4669 · arxiv_version: 1301.4669v1 · doi: 10.48550/arxiv.1301.4669 · pith_short_12: UBMGGSSONOCJ · pith_short_16: UBMGGSSONOCJH5QV · pith_short_8: UBMGGSSO

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/UBMGGSSONOCJH5QVDKO25IC2NI \
  | 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: a058634a4e6b8493f6151a9daea05a6a1bf0b5ed2af8c78c7afbba8ba914625a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e60a83635be0b9010352cac3e0a7fae478411679e83ac278f95bffb9badb6480",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-20T16:33:54Z",
    "title_canon_sha256": "7b36f057f21604c059cb6692a1db3d484157ed1a3b600a983629e95cc3cf72ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4669",
    "kind": "arxiv",
    "version": 1
  }
}