Pith Number

pith:5Y5Y7SHH

pith:2003:5Y5Y7SHHP6FYQXVTOQCVUQUGMF

not attested not anchored not stored refs pending

On the singular braid monoid

V. V. Vershinin

arxiv:math/0309339 v1 · 2003-09-20 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Y5Y7SHHP6FYQXVTOQCVUQUGMF}

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	2026-05-18T04:02:02.133280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee3b8fc8e77f8b885eb374055a4286617dff487b9303349319bf30f82b9eeff6

Aliases

arxiv: math/0309339 · arxiv_version: math/0309339v1 · doi: 10.48550/arxiv.math/0309339 · pith_short_12: 5Y5Y7SHHP6FY · pith_short_16: 5Y5Y7SHHP6FYQXVT · pith_short_8: 5Y5Y7SHH

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/5Y5Y7SHHP6FYQXVTOQCVUQUGMF \
  | 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: ee3b8fc8e77f8b885eb374055a4286617dff487b9303349319bf30f82b9eeff6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be65cfd0d1d188c2ccdecc80d1038df65aede42ef0719291cde4534cca147352",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2003-09-20T09:41:35Z",
    "title_canon_sha256": "47fc6094dac123c028c3c79a583e5a36bda80ee48cb7b5479bc3f1dc8863f156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309339",
    "kind": "arxiv",
    "version": 1
  }
}