Pith Number

pith:NVV4IICX

pith:2009:NVV4IICX5HAO7NJ2IFYUI6EJKN

not attested not anchored not stored refs pending

On the inverse braid and reflection monoids of type $B$

V. V. Vershinin

arxiv:0903.0085 v1 · 2009-02-28 · math.GR · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NVV4IICX5HAO7NJ2IFYUI6EJKN}

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	2026-05-18T04:02:12.256174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d6bc42057e9c0efb53a41714478895361993587852a16988e463c3981de1daa

Aliases

arxiv: 0903.0085 · arxiv_version: 0903.0085v1 · doi: 10.48550/arxiv.0903.0085 · pith_short_12: NVV4IICX5HAO · pith_short_16: NVV4IICX5HAO7NJ2 · pith_short_8: NVV4IICX

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/NVV4IICX5HAO7NJ2IFYUI6EJKN \
  | 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: 6d6bc42057e9c0efb53a41714478895361993587852a16988e463c3981de1daa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2967719d5922759f4925d590b7962566b95340cd7d5bae6a7b03c43d2f43c540",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-02-28T16:42:04Z",
    "title_canon_sha256": "6f60d2bf3bb562a3b9d3cbe4121290648629a93082550eb804ac577e4553ffe4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.0085",
    "kind": "arxiv",
    "version": 1
  }
}