Pith Number

pith:JMBSR5DH

pith:2015:JMBSR5DHCNWMBIRC6PY677SK7M

not attested not anchored not stored refs pending

The 2-braid group and Garside normal form

Lars Thorge Jensen

arxiv:1505.05353 v2 · 2015-05-20 · math.RT · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMBSR5DHCNWMBIRC6PY677SK7M}

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	2026-05-18T01:31:13.675864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b0328f467136cc0a222f3f1effe4afb2d80168c12ee94d48d80b4fdecc72ce9

Aliases

arxiv: 1505.05353 · arxiv_version: 1505.05353v2 · doi: 10.48550/arxiv.1505.05353 · pith_short_12: JMBSR5DHCNWM · pith_short_16: JMBSR5DHCNWMBIRC · pith_short_8: JMBSR5DH

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/JMBSR5DHCNWMBIRC6PY677SK7M \
  | 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: 4b0328f467136cc0a222f3f1effe4afb2d80168c12ee94d48d80b4fdecc72ce9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65d4d0a7b781a7686c2cd8800f34f7c54eaeecd1aaf91cc208fe758d1ba4864d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-05-20T12:59:29Z",
    "title_canon_sha256": "bc0cf68fcf5674c93a11eb52bc64a69acf52038946c44b3e391c728fb9f1e683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05353",
    "kind": "arxiv",
    "version": 2
  }
}