Pith Number

pith:7OAZJDFA

pith:2013:7OAZJDFAN3DSDUU4EX7K7BITAY

not attested not anchored not stored refs pending

4-dimensional compact manifolds with nonnegative biorthogonal curvature

E. Costa, E. Ribeiro Jr

arxiv:1311.1057 v3 · 2013-11-05 · 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{7OAZJDFAN3DSDUU4EX7K7BITAY}

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	2026-05-18T02:55:27.430629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb81948ca06ec721d29c25feaf8513063eebd0d409bb7ed70cd3bbab3454f71f

Aliases

arxiv: 1311.1057 · arxiv_version: 1311.1057v3 · doi: 10.48550/arxiv.1311.1057 · pith_short_12: 7OAZJDFAN3DS · pith_short_16: 7OAZJDFAN3DSDUU4 · pith_short_8: 7OAZJDFA

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/7OAZJDFAN3DSDUU4EX7K7BITAY \
  | 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: fb81948ca06ec721d29c25feaf8513063eebd0d409bb7ed70cd3bbab3454f71f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "625faa4aa2356270b69f58fe33fa541f8b5fb2b00c594fe2743c405c5447d649",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-05T14:15:03Z",
    "title_canon_sha256": "8735bf9a89dd1fbd0f25c4fae95e3b4eeaa07714137e1c3fff51768211e7af4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1057",
    "kind": "arxiv",
    "version": 3
  }
}