Pith Number

pith:2EKTCCF7

pith:2014:2EKTCCF72S4RRF7W6CCC2GLXZ5

not attested not anchored not stored refs pending

On scalar curvature rigidity of Vacuum Static Spaces

Jie Qing, Wei Yuan

arxiv:1412.1860 v2 · 2014-12-04 · 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{2EKTCCF72S4RRF7W6CCC2GLXZ5}

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	2026-05-18T02:31:29.669748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1153108bfd4b91897f6f0842d1977cf4eb2544174471b5a45186df541b1f53f

Aliases

arxiv: 1412.1860 · arxiv_version: 1412.1860v2 · doi: 10.48550/arxiv.1412.1860 · pith_short_12: 2EKTCCF72S4R · pith_short_16: 2EKTCCF72S4RRF7W · pith_short_8: 2EKTCCF7

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/2EKTCCF72S4RRF7W6CCC2GLXZ5 \
  | 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: d1153108bfd4b91897f6f0842d1977cf4eb2544174471b5a45186df541b1f53f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376859bb65a210f3e36a33b5f950e62ed3b4781670ab4a3362ea7f7f936e25bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-04T22:58:46Z",
    "title_canon_sha256": "d00df3120e2cad9065b022a0ce1f808a8995adc3fe9b84e53c21b0e2547164e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1860",
    "kind": "arxiv",
    "version": 2
  }
}