Pith Number

pith:CZFHT6TJ

pith:2013:CZFHT6TJ5BH5QGS6MTZ52VMRZG

not attested not anchored not stored refs pending

Compact manifolds with positive $\Gamma_2$-curvature

Boris Botvinnik, Mohammed Labbi

arxiv:1305.5313 v3 · 2013-05-23 · 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{CZFHT6TJ5BH5QGS6MTZ52VMRZG}

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	2026-05-18T03:13:55.858991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

164a79fa69e84fd81a5e64f3dd5591c9ae6009c1d0588fa61904fb34d5b08d12

Aliases

arxiv: 1305.5313 · arxiv_version: 1305.5313v3 · doi: 10.48550/arxiv.1305.5313 · pith_short_12: CZFHT6TJ5BH5 · pith_short_16: CZFHT6TJ5BH5QGS6 · pith_short_8: CZFHT6TJ

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/CZFHT6TJ5BH5QGS6MTZ52VMRZG \
  | 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: 164a79fa69e84fd81a5e64f3dd5591c9ae6009c1d0588fa61904fb34d5b08d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2557dc509b7503ad9ed5559d01613b64ec0469b993da16d1c11433798998fb49",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-05-23T04:36:54Z",
    "title_canon_sha256": "f4a6f079259a324b1a91681a724caeff2b044cf3b1edd623418d5e1b4d37c741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.5313",
    "kind": "arxiv",
    "version": 3
  }
}