Pith Number

pith:2ZQ2G4YL

pith:2010:2ZQ2G4YL6C4LJVZFUWUBKMUWJP

not attested not anchored not stored refs pending

Tutorial on the braid groups

Dale Rolfsen

arxiv:1010.4051 v1 · 2010-10-19 · math.AT · 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{2ZQ2G4YL6C4LJVZFUWUBKMUWJP}

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	2026-05-18T04:38:59.904111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d661a3730bf0b8b4d725a5a81532964bdd03a53b5afb4e56e94853a107f9eda9

Aliases

arxiv: 1010.4051 · arxiv_version: 1010.4051v1 · doi: 10.48550/arxiv.1010.4051 · pith_short_12: 2ZQ2G4YL6C4L · pith_short_16: 2ZQ2G4YL6C4LJVZF · pith_short_8: 2ZQ2G4YL

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/2ZQ2G4YL6C4LJVZFUWUBKMUWJP \
  | 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: d661a3730bf0b8b4d725a5a81532964bdd03a53b5afb4e56e94853a107f9eda9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc8d7736290d961f99fbe7de542ce6765f0eadaa1f372771ee359640bd2b9f74",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-10-19T21:09:44Z",
    "title_canon_sha256": "dc47c1da1619e6f5f219d34ebcca8d5be067fe1830b14017dd293b4e0717c40a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4051",
    "kind": "arxiv",
    "version": 1
  }
}