Pith Number

pith:TGU4MVKO

pith:2007:TGU4MVKO3PEMECAPS35YJ5HDVR

not attested not anchored not stored refs pending

Poisson and symplectic functions in Lie algebroid theory

Yvette Kosmann-Schwarzbach

arxiv:0711.2043 v4 · 2007-11-13 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGU4MVKO3PEMECAPS35YJ5HDVR}

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	2026-05-18T03:39:17.089464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a9c6554edbc8c2080f96fb84f4e3ac759937fcf31b1e1f769cefadeaa16278

Aliases

arxiv: 0711.2043 · arxiv_version: 0711.2043v4 · doi: 10.48550/arxiv.0711.2043 · pith_short_12: TGU4MVKO3PEM · pith_short_16: TGU4MVKO3PEMECAP · pith_short_8: TGU4MVKO

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/TGU4MVKO3PEMECAPS35YJ5HDVR \
  | 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: 99a9c6554edbc8c2080f96fb84f4e3ac759937fcf31b1e1f769cefadeaa16278

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc4c5bb8364fa9e87e918b40c2d4f565b085f3f2967f36a90778f3725f78d1ef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2007-11-13T17:56:53Z",
    "title_canon_sha256": "f062100fe5569077776b93e2e19ec536faebe4cba31d2e0b5c0502fe55b484b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.2043",
    "kind": "arxiv",
    "version": 4
  }
}