Pith Number

pith:ZPKRWJI7

pith:2015:ZPKRWJI7U5JLJT2C2GB44FTGLE

not attested not anchored not stored refs pending

Killing 2-forms in dimension 4

Andrei Moroianu, Paul Gauduchon

arxiv:1506.04292 v1 · 2015-06-13 · 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{ZPKRWJI7U5JLJT2C2GB44FTGLE}

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	2026-05-17T23:56:56.332374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbd51b251fa752b4cf42d183ce16665915bd1b5aa8cb736adc3e3b07aa603a23

Aliases

arxiv: 1506.04292 · arxiv_version: 1506.04292v1 · doi: 10.48550/arxiv.1506.04292 · pith_short_12: ZPKRWJI7U5JL · pith_short_16: ZPKRWJI7U5JLJT2C · pith_short_8: ZPKRWJI7

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/ZPKRWJI7U5JLJT2C2GB44FTGLE \
  | 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: cbd51b251fa752b4cf42d183ce16665915bd1b5aa8cb736adc3e3b07aa603a23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d52870f2345e379028e0c7d5b20228d0ab42e1027a3328faa69166767a7b3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-13T16:35:23Z",
    "title_canon_sha256": "a8f2e31b8d77b56e19acc8ef61a7faf544dcafb582a1fdaea81693e2c95c9caf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04292",
    "kind": "arxiv",
    "version": 1
  }
}