Pith Number

pith:J46DSHQR

pith:2026:J46DSHQRWTRR4J3ORBTQJO2ZFJ

not attested not anchored not stored refs pending

Integer Knot Invariants: Inequalities, Computations, and Open Problems

Michal Jablonowski

arxiv:2605.22652 v1 · 2026-05-21 · 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{J46DSHQRWTRR4J3ORBTQJO2ZFJ}

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	2026-05-22T02:04:48.278919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f3c391e11b4e31e276e886704bb592a6d5dabe1ff562d4aa1a89b6449d1dcd9

Aliases

arxiv: 2605.22652 · arxiv_version: 2605.22652v1 · doi: 10.48550/arxiv.2605.22652 · pith_short_12: J46DSHQRWTRR · pith_short_16: J46DSHQRWTRR4J3O · pith_short_8: J46DSHQR

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/J46DSHQRWTRR4J3ORBTQJO2ZFJ \
  | 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: 4f3c391e11b4e31e276e886704bb592a6d5dabe1ff562d4aa1a89b6449d1dcd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11bcafa4114e56bac3b0e690800fb130cfc5396eb2a708eaa21c148dcefb25d5",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-21T15:56:05Z",
    "title_canon_sha256": "e3e05a3e21652212b8057ef8da7d8322269eab2e3fb196be6bf425f162337a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22652",
    "kind": "arxiv",
    "version": 1
  }
}