Pith Number

pith:4UHJ63TS

pith:2006:4UHJ63TS2DRATTZN4VJ5NKLAAR

not attested not anchored not stored refs pending

Braids, their properties and generalizations

V. V. Vershinin

arxiv:math/0611712 v1 · 2006-11-22 · 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{4UHJ63TS2DRATTZN4VJ5NKLAAR}

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	2026-05-18T04:02:01.265836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e50e9f6e72d0e209cf2de553d6a960046f8fc3e692923f648ac1ae1bfe5771a9

Aliases

arxiv: math/0611712 · arxiv_version: math/0611712v1 · doi: 10.48550/arxiv.math/0611712 · pith_short_12: 4UHJ63TS2DRA · pith_short_16: 4UHJ63TS2DRATTZN · pith_short_8: 4UHJ63TS

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/4UHJ63TS2DRATTZN4VJ5NKLAAR \
  | 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: e50e9f6e72d0e209cf2de553d6a960046f8fc3e692923f648ac1ae1bfe5771a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "392e79243d63db61cf9251f699703cc4cbd15e8ff263ec964ea1300ab4fe7281",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-11-22T22:58:12Z",
    "title_canon_sha256": "220366aae3f86686c82394682bba6618f2af6e6f02ba6ecbb9d306c508e25bf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611712",
    "kind": "arxiv",
    "version": 1
  }
}