Pith Number

pith:V2OH2HXV

pith:2012:V2OH2HXVDG5V6RAQ7V7GE6KCOK

not attested not anchored not stored refs pending

An (FA)-group that is not (FR)

Ashot Minasyan, Martin J. Dunwoody

arxiv:1203.3317 v2 · 2012-03-15 · math.GR · 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{V2OH2HXVDG5V6RAQ7V7GE6KCOK}

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	2026-05-18T03:20:45.505188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae9c7d1ef519bb5f4410fd7e62794272be0b9c4be548f3a08c6a320c4f20959c

Aliases

arxiv: 1203.3317 · arxiv_version: 1203.3317v2 · doi: 10.48550/arxiv.1203.3317 · pith_short_12: V2OH2HXVDG5V · pith_short_16: V2OH2HXVDG5V6RAQ · pith_short_8: V2OH2HXV

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/V2OH2HXVDG5V6RAQ7V7GE6KCOK \
  | 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: ae9c7d1ef519bb5f4410fd7e62794272be0b9c4be548f3a08c6a320c4f20959c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3de72819e20235eaf08f2976b373d232741fd703856f9f7434be75d53feab9a7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-03-15T10:56:38Z",
    "title_canon_sha256": "544e888aa32b018a4d799d761d48b823b799801680b95f3eecde10f0d01d4bcc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3317",
    "kind": "arxiv",
    "version": 2
  }
}