Pith Number

pith:OHUXWE6P

pith:2015:OHUXWE6P3FCFODMML66P6W2HEG

not attested not anchored not stored refs pending

On a relation between the self-linking number and the braid index of closed braids in open books

Tetsuya Ito

arxiv:1501.07314 v2 · 2015-01-29 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHUXWE6P3FCFODMML66P6W2HEG}

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	2026-05-18T00:15:24.966024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71e97b13cfd944570d8c5fbcff5b4721a46855182fa7afb20f450ae3352b538f

Aliases

arxiv: 1501.07314 · arxiv_version: 1501.07314v2 · doi: 10.48550/arxiv.1501.07314 · pith_short_12: OHUXWE6P3FCF · pith_short_16: OHUXWE6P3FCFODMM · pith_short_8: OHUXWE6P

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/OHUXWE6P3FCFODMML66P6W2HEG \
  | 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: 71e97b13cfd944570d8c5fbcff5b4721a46855182fa7afb20f450ae3352b538f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cf536114a0a3a46069516c29ac9053f280e69757af15442fdedf7dfda2da712",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-01-29T00:05:06Z",
    "title_canon_sha256": "8b43b5424b58171c7a789874c3dcef8ea266cc1a2d054d867389cba8bb88c308"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07314",
    "kind": "arxiv",
    "version": 2
  }
}