Pith Number

pith:CQ7XXXIY

pith:2016:CQ7XXXIYQIYKJC3ELUOKQON4N3

not attested not anchored not stored refs pending

BPS counting for knots and combinatorics on words

Piotr Kucharski, Piotr Su{\l}kowski

arxiv:1608.06600 v1 · 2016-08-23 · hep-th · math.CO · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQ7XXXIYQIYKJC3ELUOKQON4N3}

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.

Cited by

1 paper in Pith

Double twist knots and lattice paths

Receipt and verification

First computed	2026-05-18T00:44:09.458248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

143f7bdd188230a48b645d1ca839bc6ed73ac20ad803afd2c55e3cfc1aa6f5b6

Aliases

arxiv: 1608.06600 · arxiv_version: 1608.06600v1 · doi: 10.48550/arxiv.1608.06600 · pith_short_12: CQ7XXXIYQIYK · pith_short_16: CQ7XXXIYQIYKJC3E · pith_short_8: CQ7XXXIY

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/CQ7XXXIYQIYKJC3ELUOKQON4N3 \
  | 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: 143f7bdd188230a48b645d1ca839bc6ed73ac20ad803afd2c55e3cfc1aa6f5b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "116ff69e64410dca1dae38b9586127dcd5134f2888a6c7a33f34ecdea8edf2c4",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-08-23T18:46:16Z",
    "title_canon_sha256": "c1597d4c0f758e93e180a0860400402d650f9a1d642661b7102f94637f8d688c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.06600",
    "kind": "arxiv",
    "version": 1
  }
}