Pith Number

pith:NHFIXHXE

pith:2014:NHFIXHXE23VEBPYWELMFXOZJGD

not attested not anchored not stored refs pending

Twisted Poincar\'{e} duality between Poisson homology and Poisson cohomology

J.Luo, Q.-S. Wu, S.-Q. Wang

arxiv:1404.5177 v1 · 2014-04-21 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NHFIXHXE23VEBPYWELMFXOZJGD}

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	2026-05-18T02:53:42.490929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69ca8b9ee4d6ea40bf1622d85bbb2930cb8d04fd76b6997fd7651d74eeacef57

Aliases

arxiv: 1404.5177 · arxiv_version: 1404.5177v1 · doi: 10.48550/arxiv.1404.5177 · pith_short_12: NHFIXHXE23VE · pith_short_16: NHFIXHXE23VEBPYW · pith_short_8: NHFIXHXE

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/NHFIXHXE23VEBPYWELMFXOZJGD \
  | 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: 69ca8b9ee4d6ea40bf1622d85bbb2930cb8d04fd76b6997fd7651d74eeacef57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb2aa48f0a104f7765253da28a4630690c42ba96a4e3d7fbc330d5172191c1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-04-21T11:51:21Z",
    "title_canon_sha256": "a6e00b35c04f02aa2ce50c8783301e2e5c954386c24c6fe9c3c274dc4989318c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5177",
    "kind": "arxiv",
    "version": 1
  }
}