Pith Number

pith:VJZCMLF3

pith:2002:VJZCMLF3BWSJPO75HHELCAK5B5

not attested not anchored not stored refs pending

On HNN-extensions in the class of groups of large odd exponent

S.V. Ivanov

arxiv:math/0210190 v1 · 2002-10-13 · 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{VJZCMLF3BWSJPO75HHELCAK5B5}

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	2026-07-04T14:36:37.935751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa72262cbb0da497bbfd39c8b1015d0f4ecc76defc24a84b3340b7aa6136973d

Aliases

arxiv: math/0210190 · arxiv_version: math/0210190v1 · doi: 10.48550/arxiv.math/0210190 · pith_short_12: VJZCMLF3BWSJ · pith_short_16: VJZCMLF3BWSJPO75 · pith_short_8: VJZCMLF3

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/VJZCMLF3BWSJPO75HHELCAK5B5 \
  | 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: aa72262cbb0da497bbfd39c8b1015d0f4ecc76defc24a84b3340b7aa6136973d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3709d2bb365fde389346a1422ee85672b85eed1d47a019b9955b8d217167c9f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2002-10-13T18:02:34Z",
    "title_canon_sha256": "63857fd39282b1cab546b3d6a2c281a7ad8b91a0f8142e8ed5edfff2a3a18774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0210190",
    "kind": "arxiv",
    "version": 1
  }
}