Pith Number

pith:WU46MB2G

pith:2018:WU46MB2GT7YVCALDHVOASDXWVK

not attested not anchored not stored refs pending

Cross-sections of unknotted ribbon disks and algebraic curves

Kyle Hayden

arxiv:1801.05415 v2 · 2018-01-16 · 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{WU46MB2GT7YVCALDHVOASDXWVK}

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	2026-05-17T23:53:33.678192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b539e607469ff15101633d5c090ef6aa92af19e8e076b3c85b8b9270e912a84f

Aliases

arxiv: 1801.05415 · arxiv_version: 1801.05415v2 · doi: 10.48550/arxiv.1801.05415 · pith_short_12: WU46MB2GT7YV · pith_short_16: WU46MB2GT7YVCALD · pith_short_8: WU46MB2G

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/WU46MB2GT7YVCALDHVOASDXWVK \
  | 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: b539e607469ff15101633d5c090ef6aa92af19e8e076b3c85b8b9270e912a84f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ab2ff9102c376fac1b9fd2551b4aa018032d01d8cd58fc752ffd93c7da723d1",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-01-16T18:54:05Z",
    "title_canon_sha256": "1f5c825f9ad8ae13f6bbea5e2cfb4ab64493f458280f31d1af667ae5c1a419af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.05415",
    "kind": "arxiv",
    "version": 2
  }
}