Pith Number

pith:3HDRGR2G

pith:2013:3HDRGR2GBOE7VBXROH3Y7MKPCW

not attested not anchored not stored refs pending

Closures of positive braids and the Morton-Franks-Williams inequality

Juan Gonz\'alez-Meneses, Pedro M. G. Manch\'on

arxiv:1308.1250 v1 · 2013-08-06 · 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{3HDRGR2GBOE7VBXROH3Y7MKPCW}

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	2026-05-18T03:16:39.341900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9c71347460b89fa86f171f78fb14f158efe36e9e37d155bf1fb3ceefd23978a

Aliases

arxiv: 1308.1250 · arxiv_version: 1308.1250v1 · doi: 10.48550/arxiv.1308.1250 · pith_short_12: 3HDRGR2GBOE7 · pith_short_16: 3HDRGR2GBOE7VBXR · pith_short_8: 3HDRGR2G

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/3HDRGR2GBOE7VBXROH3Y7MKPCW \
  | 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: d9c71347460b89fa86f171f78fb14f158efe36e9e37d155bf1fb3ceefd23978a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14c96e8e5b53a2c2c8ddf1c9d8c5f6876d64763931a6e0cf4a56ea29bcf681cc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-08-06T12:08:13Z",
    "title_canon_sha256": "f159530db76e146afce4dda039849b5313eef5241d571eafbe676c3bb4b67ac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1250",
    "kind": "arxiv",
    "version": 1
  }
}