Pith Number

pith:2AQ4GUOL

pith:1998:2AQ4GUOLMFX2W2FQQCAPBDAJBS

not attested not anchored not stored refs pending

Groups Generated by Powers of Dehn Twists

Hessam Hamidi-Tehrani

arxiv:math/9809155 v1 · 1998-09-28 · 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{2AQ4GUOLMFX2W2FQQCAPBDAJBS}

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	2026-07-04T14:40:48.180520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d021c351cb616fab68b08080f08c090cb109f02fa382f6be42e792f1695837fc

Aliases

arxiv: math/9809155 · arxiv_version: math/9809155v1 · doi: 10.48550/arxiv.math/9809155 · pith_short_12: 2AQ4GUOLMFX2 · pith_short_16: 2AQ4GUOLMFX2W2FQ · pith_short_8: 2AQ4GUOL

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/2AQ4GUOLMFX2W2FQQCAPBDAJBS \
  | 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: d021c351cb616fab68b08080f08c090cb109f02fa382f6be42e792f1695837fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "333918167fa17f8823414c01bbd54bd994ca281e5c52f75ffddc57d8b7521f14",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1998-09-28T01:59:48Z",
    "title_canon_sha256": "97ac89b4f5855560bda93ffb1f6c73222922040d3f32a1f6d6e333332e938187"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809155",
    "kind": "arxiv",
    "version": 1
  }
}