Pith Number

pith:CIKTWATN

pith:2026:CIKTWATNM4LQYCRMFOAWXGQOXG

not attested not anchored not stored refs pending

Exhaustive Generation of Genus-One Knot and Link Diagrams via Maps on the Torus

Alexander Omelchenko

arxiv:2606.13161 v1 · 2026-06-11 · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIKTWATNM4LQYCRMFOAWXGQOXG}

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	2026-06-12T01:09:44.120299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12153b026d67170c0a2c2b816b9a0eb98491a032f0e1bd80b788e9fa9a44559b

Aliases

arxiv: 2606.13161 · arxiv_version: 2606.13161v1 · doi: 10.48550/arxiv.2606.13161 · pith_short_12: CIKTWATNM4LQ · pith_short_16: CIKTWATNM4LQYCRM · pith_short_8: CIKTWATN

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/CIKTWATNM4LQYCRMFOAWXGQOXG \
  | 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: 12153b026d67170c0a2c2b816b9a0eb98491a032f0e1bd80b788e9fa9a44559b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3dd91618d3821dc5adc6876ad50a1449ca019705a940395d842265b8e7dfa71a",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2026-06-11T10:29:05Z",
    "title_canon_sha256": "2714b3340db2556ff3d062027fb0ed3cae5fcf8f923745b2e12bc7331cada6d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.13161",
    "kind": "arxiv",
    "version": 1
  }
}