Pith Number

pith:KYLSB67T

pith:2024:KYLSB67THVCV7F3TILYTLJIRHQ

not attested not anchored not stored refs pending

Ribbon numbers of 12-crossing knots

Alexander Zupan, Ansel Goh, Benjamin Kirn, Bhaswati Saha, David Cates, Ege Malkoc, Evan Scott, Jeffrey Meier, Josh Krienke, Matthew Aronin, Max Natonson, Minyi Liang, Roman Simkins, Samuel Lowery, Veljko Radi\'c, Xianhao An, Yavuz Rodoplu

arxiv:2409.12910 v1 · 2024-09-19 · 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{KYLSB67THVCV7F3TILYTLJIRHQ}

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	2026-07-05T09:09:13.872239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

561720fbf33d455f977342f135a5113c0fa4d1715e3c59d2330bbd6b50d92034

Aliases

arxiv: 2409.12910 · arxiv_version: 2409.12910v1 · doi: 10.48550/arxiv.2409.12910 · pith_short_12: KYLSB67THVCV · pith_short_16: KYLSB67THVCV7F3T · pith_short_8: KYLSB67T

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/KYLSB67THVCV7F3TILYTLJIRHQ \
  | 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: 561720fbf33d455f977342f135a5113c0fa4d1715e3c59d2330bbd6b50d92034

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ebe781e4c9d9c7d50f09e147db802d7a2ca0863f7543b6b1ecba9b578363ce8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-09-19T17:02:56Z",
    "title_canon_sha256": "7cd82e88607f43aa24cabb99e6f692ff4b1e11e6c6cd3a55468b18facc950a69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.12910",
    "kind": "arxiv",
    "version": 1
  }
}