Pith Number

pith:NM2UQ3UZ

pith:2015:NM2UQ3UZE2BLV3V7C53634SAL5

not attested not anchored not stored refs pending

Curve Diagrams, Laminations, and the Geometric Complexity of Braids

Vincent Jug\'e

arxiv:1503.00752 v2 · 2015-03-02 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NM2UQ3UZE2BLV3V7C53634SAL5}

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	2026-05-18T01:21:32.414098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b35486e992682baeebf1777edf2405f40187ac616b6fa149b935c32e8dbbfa2

Aliases

arxiv: 1503.00752 · arxiv_version: 1503.00752v2 · doi: 10.48550/arxiv.1503.00752 · pith_short_12: NM2UQ3UZE2BL · pith_short_16: NM2UQ3UZE2BLV3V7 · pith_short_8: NM2UQ3UZ

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/NM2UQ3UZE2BLV3V7C53634SAL5 \
  | 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: 6b35486e992682baeebf1777edf2405f40187ac616b6fa149b935c32e8dbbfa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a6e3108462e34fcb645002439c5231824980d3caef1b86e0bef2cf66cf40c76",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-03-02T21:24:27Z",
    "title_canon_sha256": "f52d98d455859e1ee9a93b9a6d0b18d4421a0e01a820033b47c80e44e3c24c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00752",
    "kind": "arxiv",
    "version": 2
  }
}