Pith Number

pith:DH7YLTZZ

pith:2025:DH7YLTZZV5LLJSO7R7W7ADIOX6

not attested not anchored not stored refs pending

Generalized chord diagrams and weight systems

E. Krasilnikov, M. Kazarian, M. Shapiro, S. Lando

arxiv:2505.24491 v1 · 2025-05-30 · math.CO · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DH7YLTZZV5LLJSO7R7W7ADIOX6}

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	2026-07-05T11:12:50.999415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19ff85cf39af56b4c9df8fedf00d0ebf9c45fb5f716c671c94769d3b931ad4ee

Aliases

arxiv: 2505.24491 · arxiv_version: 2505.24491v1 · doi: 10.48550/arxiv.2505.24491 · pith_short_12: DH7YLTZZV5LL · pith_short_16: DH7YLTZZV5LLJSO7 · pith_short_8: DH7YLTZZ

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/DH7YLTZZV5LLJSO7R7W7ADIOX6 \
  | 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: 19ff85cf39af56b4c9df8fedf00d0ebf9c45fb5f716c671c94769d3b931ad4ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5bf394c404385283e8bd07bc21bf3674eab4917a22667ec95ee7a1a2680de59",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-30T11:43:56Z",
    "title_canon_sha256": "51f24d40f0310d4823b25889e30acb57390e8bb8d45721d6ec596cc2b5fb5bb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.24491",
    "kind": "arxiv",
    "version": 1
  }
}