Pith Number

pith:XQYNV5JN

pith:2015:XQYNV5JNECECXR36ISPRUSMOXN

not attested not anchored not stored refs pending

On the Bott-Chern and Aeppli cohomology

Daniele Angella

arxiv:1507.07112 v2 · 2015-07-25 · math.CV · 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{XQYNV5JNECECXR36ISPRUSMOXN}

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	2026-05-18T01:35:06.619565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc30daf52d20882bc77e449f1a498ebb579a668216d74ea791300cd6bdcf7c77

Aliases

arxiv: 1507.07112 · arxiv_version: 1507.07112v2 · doi: 10.48550/arxiv.1507.07112 · pith_short_12: XQYNV5JNECEC · pith_short_16: XQYNV5JNECECXR36 · pith_short_8: XQYNV5JN

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/XQYNV5JNECECXR36ISPRUSMOXN \
  | 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: bc30daf52d20882bc77e449f1a498ebb579a668216d74ea791300cd6bdcf7c77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65848ca4d4075af7099540f4ac077138cb73bc5d5b2c9cf16aa376e38a2f52ca",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-07-25T15:45:46Z",
    "title_canon_sha256": "b118dba8a8f33fa9e6b7f7e19c6a0064c600e148245c88814a89d7b174917e48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07112",
    "kind": "arxiv",
    "version": 2
  }
}