Pith Number

pith:IMRBRGCG

pith:2008:IMRBRGCGA4WAC3UALE7I3XN27A

not attested not anchored not stored refs pending

Dehn twists have roots

Dan Margalit, Saul Schleimer

arxiv:0810.5036 v1 · 2008-10-28 · 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{IMRBRGCGA4WAC3UALE7I3XN27A}

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	2026-05-18T02:38:19.010872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4322189846072c016e80593e8dddbaf8190518ca71cb7e03a28be982951b07ea

Aliases

arxiv: 0810.5036 · arxiv_version: 0810.5036v1 · doi: 10.48550/arxiv.0810.5036 · pith_short_12: IMRBRGCGA4WA · pith_short_16: IMRBRGCGA4WAC3UA · pith_short_8: IMRBRGCG

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/IMRBRGCGA4WAC3UALE7I3XN27A \
  | 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: 4322189846072c016e80593e8dddbaf8190518ca71cb7e03a28be982951b07ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b4517547ca3a5c92e0b63211f0bc6fe039c1f256b9b50e3d637aeba3c628316",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-10-28T14:27:04Z",
    "title_canon_sha256": "5d661b3c7608e21aa64e310d083ea46f93844db7593c5d4187038b90fdf7324b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.5036",
    "kind": "arxiv",
    "version": 1
  }
}