Pith Number

pith:PAEB5XHB

pith:2016:PAEB5XHBACWS5MN7HD3A5GMQVE

not attested not anchored not stored refs pending

Complex symplectic structures and the $\partial \bar{\partial}$-lemma

Adriano Tomassini, Andrea Cattaneo

arxiv:1612.08183 v2 · 2016-12-24 · math.DG · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAEB5XHBACWS5MN7HD3A5GMQVE}

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	2026-05-18T00:35:09.335787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78081edce100ad2eb1bf38f60e9990a922d2d920b781670d96a266c60dff3c09

Aliases

arxiv: 1612.08183 · arxiv_version: 1612.08183v2 · doi: 10.48550/arxiv.1612.08183 · pith_short_12: PAEB5XHBACWS · pith_short_16: PAEB5XHBACWS5MN7 · pith_short_8: PAEB5XHB

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/PAEB5XHBACWS5MN7HD3A5GMQVE \
  | 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: 78081edce100ad2eb1bf38f60e9990a922d2d920b781670d96a266c60dff3c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a335278f381ac1e8644177c7c9522cc17491fcf30e375a9d4b5d08d236ed4421",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-24T13:53:22Z",
    "title_canon_sha256": "e385820a0740b9e92052263af5b374704087e84449e15190aa230e333bd6f519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08183",
    "kind": "arxiv",
    "version": 2
  }
}