Pith Number

pith:HRC4PN5C

pith:2017:HRC4PN5CQBZUQW7QN3TIZE6RUM

not attested not anchored not stored refs pending

Divergence of Thompson groups

Gili Golan, Mark Sapir

arxiv:1709.08144 v1 · 2017-09-24 · 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{HRC4PN5CQBZUQW7QN3TIZE6RUM}

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	2026-05-18T00:34:27.857196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c45c7b7a28073485bf06ee68c93d1a3008c456c749fd2300eed9d93a791925d

Aliases

arxiv: 1709.08144 · arxiv_version: 1709.08144v1 · doi: 10.48550/arxiv.1709.08144 · pith_short_12: HRC4PN5CQBZU · pith_short_16: HRC4PN5CQBZUQW7Q · pith_short_8: HRC4PN5C

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/HRC4PN5CQBZUQW7QN3TIZE6RUM \
  | 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: 3c45c7b7a28073485bf06ee68c93d1a3008c456c749fd2300eed9d93a791925d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f96b3796455de8e2b540dd37260c64edbf9494531972bee6b131a565795e988",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-24T04:08:45Z",
    "title_canon_sha256": "24795b25a92af69bc8bf2e71442471b82ddca6b1f950fc4ee4698afea268aea2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.08144",
    "kind": "arxiv",
    "version": 1
  }
}