Pith Number

pith:V4BXPTYD

pith:2002:V4BXPTYDNVXY6QQGGA5YTECFIZ

not attested not anchored not stored refs pending

Weakly finitely presented infinite periodic groups

S.V. Ivanov

arxiv:math/0209234 v1 · 2002-09-18 · 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{V4BXPTYDNVXY6QQGGA5YTECFIZ}

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	2026-07-04T14:36:27.522866Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af0377cf036d6f8f4206303b89904546681ffcf53d611544f14fee54d20a0fe9

Aliases

arxiv: math/0209234 · arxiv_version: math/0209234v1 · doi: 10.48550/arxiv.math/0209234 · pith_short_12: V4BXPTYDNVXY · pith_short_16: V4BXPTYDNVXY6QQG · pith_short_8: V4BXPTYD

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/V4BXPTYDNVXY6QQGGA5YTECFIZ \
  | 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: af0377cf036d6f8f4206303b89904546681ffcf53d611544f14fee54d20a0fe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ef6a75026488fe02642946762062b00d3e3244bdb35359b0c476a03705d4a8c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2002-09-18T20:03:39Z",
    "title_canon_sha256": "1840e87c146141741c47bb7677c37508a3635c2b1df59be15ee08c450ece8f90"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209234",
    "kind": "arxiv",
    "version": 1
  }
}