Pith Number

pith:NJ3QDMKN

pith:2024:NJ3QDMKNJLZUWPJATD7UDWXBTN

not attested not anchored not stored refs pending

Modular vector fields in non-commutative geometry

Toyo Taniguchi

arxiv:2410.24064 v3 · 2024-10-31 · math.QA · math.AT · 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{NJ3QDMKNJLZUWPJATD7UDWXBTN}

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

The formality of the Goldman-Turaev Lie bialgebra on a closed surface

Receipt and verification

First computed	2026-07-05T11:20:47.727210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a7701b14d4af34b3d2098ff41dae19b4d9fd39b05cd294440ef103dc9092193

Aliases

arxiv: 2410.24064 · arxiv_version: 2410.24064v3 · doi: 10.48550/arxiv.2410.24064 · pith_short_12: NJ3QDMKNJLZU · pith_short_16: NJ3QDMKNJLZUWPJA · pith_short_8: NJ3QDMKN

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/NJ3QDMKNJLZUWPJATD7UDWXBTN \
  | 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: 6a7701b14d4af34b3d2098ff41dae19b4d9fd39b05cd294440ef103dc9092193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1f05b3226811330722d303bad6e7cc86ecbde09d71c4ea0b6e1127028faba61",
    "cross_cats_sorted": [
      "math.AT",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2024-10-31T16:00:01Z",
    "title_canon_sha256": "409c7981b5c946aa5430d00b513d17755dec2d8c17dc6b478d2f355ecac897c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.24064",
    "kind": "arxiv",
    "version": 3
  }
}