Pith Number

pith:QRNNKN2E

pith:2015:QRNNKN2EDSRCCUWUFIGDYWD33F

not attested not anchored not stored refs pending

Extension of L^2, di-bar-closed, forms

Giuseppe Zampieri, Luca Baracco, Stefano Pinton

arxiv:1505.00365 v1 · 2015-05-02 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QRNNKN2EDSRCCUWUFIGDYWD33F}

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	2026-05-18T02:17:10.361612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

845ad537441ca22152d42a0c3c587bd9495e8ecd45af850b5d56c10cb6ce3505

Aliases

arxiv: 1505.00365 · arxiv_version: 1505.00365v1 · doi: 10.48550/arxiv.1505.00365 · pith_short_12: QRNNKN2EDSRC · pith_short_16: QRNNKN2EDSRCCUWU · pith_short_8: QRNNKN2E

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/QRNNKN2EDSRCCUWUFIGDYWD33F \
  | 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: 845ad537441ca22152d42a0c3c587bd9495e8ecd45af850b5d56c10cb6ce3505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac68b350a7e7c9d33d2072fe425ef61b430714d3575b9d141d799e83f657b02a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-05-02T19:29:17Z",
    "title_canon_sha256": "9550bdaa3817632f3e880498ccac0214cf40bcb0e8ab302af6ad2a5d0bdf228f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.00365",
    "kind": "arxiv",
    "version": 1
  }
}