Pith Number

pith:K24AOKRT

pith:2011:K24AOKRTRSAUCQ6VE6T37WTS7I

not attested not anchored not stored refs pending

Geometric representations of the braid groups

Fabrice Castel (IMB, NUS)

arxiv:1104.3698 v1 · 2011-04-19 · 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{K24AOKRTRSAUCQ6VE6T37WTS7I}

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	2026-05-18T04:23:55.785440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56b8072a338c814143d527a7bfda72fa2bddf5fc798a3f60375c146e66afe01d

Aliases

arxiv: 1104.3698 · arxiv_version: 1104.3698v1 · doi: 10.48550/arxiv.1104.3698 · pith_short_12: K24AOKRTRSAU · pith_short_16: K24AOKRTRSAUCQ6V · pith_short_8: K24AOKRT

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/K24AOKRTRSAUCQ6VE6T37WTS7I \
  | 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: 56b8072a338c814143d527a7bfda72fa2bddf5fc798a3f60375c146e66afe01d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "316896c457c2ba8686cdfacd7b1a305d404c60a6725cfbf00fb284c67601152d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-04-19T10:24:11Z",
    "title_canon_sha256": "507fd126f54c0546abf6a0bd79301382916f46de060ae9c73110910ca3a41b95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3698",
    "kind": "arxiv",
    "version": 1
  }
}