Pith Number

pith:Z43BCFZD

pith:2016:Z43BCFZD2A7246JAZTSDEHCFY3

not attested not anchored not stored refs pending

Nambu structures on Lie algebroids and their modular classes

Apurba Das, Goutam Mukherjee, Shilpa Gondhali

arxiv:1610.01184 v2 · 2016-09-16 · math.DG · 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{Z43BCFZD2A7246JAZTSDEHCFY3}

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	2026-05-18T00:34:15.737159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf36111723d03fae7920cce4321c45c6d06e375cb05e38c26c6bf87e6b98521e

Aliases

arxiv: 1610.01184 · arxiv_version: 1610.01184v2 · doi: 10.48550/arxiv.1610.01184 · pith_short_12: Z43BCFZD2A72 · pith_short_16: Z43BCFZD2A7246JA · pith_short_8: Z43BCFZD

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/Z43BCFZD2A7246JAZTSDEHCFY3 \
  | 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: cf36111723d03fae7920cce4321c45c6d06e375cb05e38c26c6bf87e6b98521e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccb33cffcec4345cf2d1c18240b3f94b72b7e0f1b5d80b4d67a9bab005733502",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-09-16T07:55:21Z",
    "title_canon_sha256": "374940480f0cee372870c1d5672c08566236927d9b7ccdbbd987e3443a2bbe78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01184",
    "kind": "arxiv",
    "version": 2
  }
}