Pith Number

pith:5ELPS33D

pith:2011:5ELPS33DUX6AY2LKVXJJY56DRA

not attested not anchored not stored refs pending

The Self-Linking Number in Planar Open Book Decompositions

Keiko Kawamuro

arxiv:1103.1088 v3 · 2011-03-05 · 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{5ELPS33DUX6AY2LKVXJJY56DRA}

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	2026-05-18T04:03:45.373926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e916f96f63a5fc0c696aadd29c77c38803283f0fcc8560251f648436839c7c80

Aliases

arxiv: 1103.1088 · arxiv_version: 1103.1088v3 · doi: 10.48550/arxiv.1103.1088 · pith_short_12: 5ELPS33DUX6A · pith_short_16: 5ELPS33DUX6AY2LK · pith_short_8: 5ELPS33D

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/5ELPS33DUX6AY2LKVXJJY56DRA \
  | 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: e916f96f63a5fc0c696aadd29c77c38803283f0fcc8560251f648436839c7c80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e263f435f1116c3810bd543e3eaa562f46b1a7213833373116d5435f4dc8f8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-05T22:42:53Z",
    "title_canon_sha256": "8434ae81d343bd15ab3a226a436cdfa0b9cf8800c1dcb3d76b02194a8374f0f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1088",
    "kind": "arxiv",
    "version": 3
  }
}