Pith Number

pith:C32DTEYM

pith:2018:C32DTEYM4IUUBSWHBGI6LMA3BH

not attested not anchored not stored refs pending

Associativity and Integrability

Daan Michiels, Rui Loja Fernandes

arxiv:1803.10412 v2 · 2018-03-28 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C32DTEYM4IUUBSWHBGI6LMA3BH}

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

Local Poisson groupoids over mixed product Poisson structures and generalised double Bruhat cells

Receipt and verification

First computed	2026-07-05T00:26:31.727361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16f439930ce22940cac70991e5b01b09e1044982990b13b87f23716d085ddb58

Aliases

arxiv: 1803.10412 · arxiv_version: 1803.10412v2 · doi: 10.48550/arxiv.1803.10412 · pith_short_12: C32DTEYM4IUU · pith_short_16: C32DTEYM4IUUBSWH · pith_short_8: C32DTEYM

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/C32DTEYM4IUUBSWHBGI6LMA3BH \
  | 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: 16f439930ce22940cac70991e5b01b09e1044982990b13b87f23716d085ddb58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "354b30743cbbf426a61c17e0974ba8ad17b4b816095aa11e8c2129585ad75e4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-28T04:38:34Z",
    "title_canon_sha256": "9388039ca0c1d01778531496cb4fcbd2c69e514a636e91f47bf6b360b2d99169"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.10412",
    "kind": "arxiv",
    "version": 2
  }
}