Pith Number

pith:HT2RVPJL

pith:2015:HT2RVPJL7324I2L2ZBVTFOKCLS

not attested not anchored not stored refs pending

Four-dimensional manifolds with positive biorthogonal curvature

Renato G. Bettiol

arxiv:1502.02270 v2 · 2015-02-08 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HT2RVPJL7324I2L2ZBVTFOKCLS}

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	2026-05-18T00:27:10.275520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3cf51abd2bfef5c4697ac86b32b9425cacf6e44cde8560406f8197fa70884ce2

Aliases

arxiv: 1502.02270 · arxiv_version: 1502.02270v2 · doi: 10.48550/arxiv.1502.02270 · pith_short_12: HT2RVPJL7324 · pith_short_16: HT2RVPJL7324I2L2 · pith_short_8: HT2RVPJL

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/HT2RVPJL7324I2L2ZBVTFOKCLS \
  | 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: 3cf51abd2bfef5c4697ac86b32b9425cacf6e44cde8560406f8197fa70884ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aad72d46c3e502972ecdd19c4e5ed938527080bd722b4545fe81f8cc3d64a3c0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-08T16:54:50Z",
    "title_canon_sha256": "e454df878c8c397ff868a5f290cfb1634ace5a78e343a0138ef877bb367112f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02270",
    "kind": "arxiv",
    "version": 2
  }
}