Pith Number

pith:BXARTNM7

pith:2008:BXARTNM7X4DA3HXWRBKYQICN3O

not attested not anchored not stored refs pending

Braid ordering and the geometry of closed braid

Tetsuya Ito

arxiv:0805.1447 v2 · 2008-05-10 · 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{BXARTNM7X4DA3HXWRBKYQICN3O}

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	2026-05-18T04:17:04.773732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dc119b59fbf060d9ef6885588204ddb908849efa2c3bd6fbc2b5ff52f59b881

Aliases

arxiv: 0805.1447 · arxiv_version: 0805.1447v2 · doi: 10.48550/arxiv.0805.1447 · pith_short_12: BXARTNM7X4DA · pith_short_16: BXARTNM7X4DA3HXW · pith_short_8: BXARTNM7

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/BXARTNM7X4DA3HXWRBKYQICN3O \
  | 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: 0dc119b59fbf060d9ef6885588204ddb908849efa2c3bd6fbc2b5ff52f59b881

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d889f27b35b09587068c4dbec12f1ba31b13b2455968a4d454bd9591c49dfcfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-05-10T09:52:14Z",
    "title_canon_sha256": "dda723f7b0881c69567fb75240f89dd1adba176044d0e12d82b5112e7b0ad5fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1447",
    "kind": "arxiv",
    "version": 2
  }
}