Pith Number

pith:E5S6JS5I

pith:2002:E5S6JS5IROZUMNOZ2K3Z6HHVIP

not attested not anchored not stored refs pending

Groups generated by positive multi-twists and the fake lantern problem

Hessam Hamidi-Tehrani

arxiv:math/0206131 v2 · 2002-06-12 · math.GT · 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{E5S6JS5IROZUMNOZ2K3Z6HHVIP}

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	2026-05-18T02:41:32.993938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2765e4cba88bb34635d9d2b79f1cf543f43cbeb6606cdbd3cc326cb1dec823de

Aliases

arxiv: math/0206131 · arxiv_version: math/0206131v2 · doi: 10.48550/arxiv.math/0206131 · pith_short_12: E5S6JS5IROZU · pith_short_16: E5S6JS5IROZUMNOZ · pith_short_8: E5S6JS5I

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/E5S6JS5IROZUMNOZ2K3Z6HHVIP \
  | 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: 2765e4cba88bb34635d9d2b79f1cf543f43cbeb6606cdbd3cc326cb1dec823de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce13003d7d6bb8bbf5fb68bd11f93132bda3621e792a5ebf3bd6704e0b47ef87",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-06-12T20:10:49Z",
    "title_canon_sha256": "46233c8ca8234536fda6b1214b3380d4992ff06ac1f8a6f1ede43f71e109b56f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206131",
    "kind": "arxiv",
    "version": 2
  }
}