Pith Number

pith:U23TXMVY

pith:2013:U23TXMVYND4EUP3R7FRE54YFH6

not attested not anchored not stored refs pending

Bounds on \"{U}bercrossing and Petal Numbers for Knots

Ashley Weber, Colin Adams, Daniel Irvine, Daniel Vitek, Jesse Freeman, Orsola Capovilla-Searle, Samantha Petti, Sicong Zhang

arxiv:1311.0526 v1 · 2013-11-03 · 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{U23TXMVYND4EUP3R7FRE54YFH6}

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	2026-05-18T03:08:05.630841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6b73bb2b868f84a3f71f9624ef3053fa0db7b138f9e524a4e1ba448ed2e7021

Aliases

arxiv: 1311.0526 · arxiv_version: 1311.0526v1 · doi: 10.48550/arxiv.1311.0526 · pith_short_12: U23TXMVYND4E · pith_short_16: U23TXMVYND4EUP3R · pith_short_8: U23TXMVY

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/U23TXMVYND4EUP3R7FRE54YFH6 \
  | 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: a6b73bb2b868f84a3f71f9624ef3053fa0db7b138f9e524a4e1ba448ed2e7021

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7db5070743dd9a561986560d34e1a9be7a24ad2b7ecba75a167ea08fd106548b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-11-03T20:55:56Z",
    "title_canon_sha256": "43d77b87c08dfb52c0180521f6ed8bfcd170237a7286bbd29410ac81452a08e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0526",
    "kind": "arxiv",
    "version": 1
  }
}