Pith Number

pith:H4YDZJZF

pith:2021:H4YDZJZF5LWO2D5POOBSCYNBT6

not attested not anchored not stored refs pending

Pre-Calabi-Yau algebras and topological quantum field theories

Alex Takeda, Maxim Kontsevich, Yiannis Vlassopoulos

arxiv:2112.14667 v3 · 2021-12-29 · math.AG · math-ph · math.CT · 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{H4YDZJZF5LWO2D5POOBSCYNBT6}

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

Coupled double Poisson brackets

Receipt and verification

First computed	2026-07-05T09:32:38.301001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f303ca725eaeced0faf73832161a19fa06d47f9859ad41dc2736492cea71752

Aliases

arxiv: 2112.14667 · arxiv_version: 2112.14667v3 · doi: 10.48550/arxiv.2112.14667 · pith_short_12: H4YDZJZF5LWO · pith_short_16: H4YDZJZF5LWO2D5P · pith_short_8: H4YDZJZF

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/H4YDZJZF5LWO2D5POOBSCYNBT6 \
  | 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: 3f303ca725eaeced0faf73832161a19fa06d47f9859ad41dc2736492cea71752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9424045b4802e49a9fa80207809f92a3b7b42dd4f8acfac5ed98532b89379930",
    "cross_cats_sorted": [
      "math-ph",
      "math.CT",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-12-29T17:36:08Z",
    "title_canon_sha256": "d0f6ec66f3aef3bad1c175baae16ebbfe096456e4b75eae324b20fba124d5faa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.14667",
    "kind": "arxiv",
    "version": 3
  }
}