Pith Number

pith:7TRL522C

pith:2012:7TRL522CL2AQGXE2E6UMOWDUSH

not attested not anchored not stored refs pending

Concordance and isotopy of metrics with positive scalar curvature

Boris Botvinnik

arxiv:1211.4879 v4 · 2012-11-20 · math.DG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TRL522CL2AQGXE2E6UMOWDUSH}

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	2026-05-18T03:10:37.209782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce2beeb425e81035c9a27a8c7587491e68aea16d606113f5ca32bb197b22ede

Aliases

arxiv: 1211.4879 · arxiv_version: 1211.4879v4 · doi: 10.48550/arxiv.1211.4879 · pith_short_12: 7TRL522CL2AQ · pith_short_16: 7TRL522CL2AQGXE2 · pith_short_8: 7TRL522C

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/7TRL522CL2AQGXE2E6UMOWDUSH \
  | 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: fce2beeb425e81035c9a27a8c7587491e68aea16d606113f5ca32bb197b22ede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "008a22346e1733e043e0429a998a835b61c12fd384534ab98b1d6528b896c2d2",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-20T21:08:28Z",
    "title_canon_sha256": "2cdec892cc71e9c3d511a97a7d46e83c783380ec3ea976a80f7420bb183da650"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4879",
    "kind": "arxiv",
    "version": 4
  }
}