Pith Number

pith:JOAVLV3W

pith:1998:JOAVLV3WB5D47HMQU6DV5HNNVV

not attested not anchored not stored refs pending

Length and Area Functions on Groups and Quasi-Isometric Higman Embeddings

A.Yu. Olshanskii, M. Sapir

arxiv:math/9811107 v1 · 1998-11-18 · 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{JOAVLV3WB5D47HMQU6DV5HNNVV}

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	2026-05-18T01:05:33.554325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b8155d7760f47cf9d90a7875e9dadad74446f44ebc46f5f700d86ee6fe2eedc

Aliases

arxiv: math/9811107 · arxiv_version: math/9811107v1 · doi: 10.48550/arxiv.math/9811107 · pith_short_12: JOAVLV3WB5D4 · pith_short_16: JOAVLV3WB5D47HMQ · pith_short_8: JOAVLV3W

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/JOAVLV3WB5D47HMQU6DV5HNNVV \
  | 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: 4b8155d7760f47cf9d90a7875e9dadad74446f44ebc46f5f700d86ee6fe2eedc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29197b6ac0ec1abe2d6328bf41141745643ac2b5a1615c8177ae69c75776aa20",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "1998-11-18T01:10:05Z",
    "title_canon_sha256": "7d45208afb431b0c372b242d341851bfb350cc8b91dbfab9a62591eae931b1e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9811107",
    "kind": "arxiv",
    "version": 1
  }
}