Pith Number

pith:465OM6UJ

pith:2009:465OM6UJMKGWCVITAQBSVRJEPE

not attested not anchored not stored refs pending

On the pure virtual braid group $PV_3$

J. Wu, R. Mikhailov, V. G. Bardakov, V.V. Vershinin

arxiv:0906.1743 v1 · 2009-06-09 · math.GT · 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{465OM6UJMKGWCVITAQBSVRJEPE}

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	2026-07-04T15:43:29.758609Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7bae67a89628d61551304032ac524793c70f18ca66e3660edfe7a4a184b8b92

Aliases

arxiv: 0906.1743 · arxiv_version: 0906.1743v1 · doi: 10.48550/arxiv.0906.1743 · pith_short_12: 465OM6UJMKGW · pith_short_16: 465OM6UJMKGWCVIT · pith_short_8: 465OM6UJ

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/465OM6UJMKGWCVITAQBSVRJEPE \
  | 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: e7bae67a89628d61551304032ac524793c70f18ca66e3660edfe7a4a184b8b92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4ba8a53f043783d8f4ef1f1726ac49a58973594aa71a193f56a03092397a864",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-06-09T14:31:24Z",
    "title_canon_sha256": "80eecea1fe781245d736f3445b5ce1b5728c9ca930606b5bd6482f8f95f8ed1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1743",
    "kind": "arxiv",
    "version": 1
  }
}