Pith Number

pith:PAS2MIIQ

pith:2025:PAS2MIIQG4LTOOUHB3LDLR7LTZ

not attested not anchored not stored refs pending

Maps from knots to $2$-links, chord diagrams, and a way to enhance Vassiliev invariants

Vassily Olegovich Manturov

arxiv:2509.01971 v3 · 2025-09-02 · 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{PAS2MIIQG4LTOOUHB3LDLR7LTZ}

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	2026-07-21T02:21:21.180073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7825a621103717373a870ed635c7eb9e6d3ce4b6ee4211a6e9bbd8f8268b560d

Aliases

arxiv: 2509.01971 · arxiv_version: 2509.01971v3 · doi: 10.48550/arxiv.2509.01971 · pith_short_12: PAS2MIIQG4LT · pith_short_16: PAS2MIIQG4LTOOUH · pith_short_8: PAS2MIIQ

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/PAS2MIIQG4LTOOUHB3LDLR7LTZ \
  | 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: 7825a621103717373a870ed635c7eb9e6d3ce4b6ee4211a6e9bbd8f8268b560d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff15a9bfb3104366b1872f083610369242af9f81329003e5e533cbbb115ca925",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-09-02T05:20:26Z",
    "title_canon_sha256": "7dbfe7e2c2c595a50c556a8be11c1687bd65a552047515f21fa35fc48296ebf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01971",
    "kind": "arxiv",
    "version": 3
  }
}