Pith Number

pith:ZELBC6NT

pith:2012:ZELBC6NTBZYGTAEO3DKHWJMBPK

not attested not anchored not stored refs pending

Response to a question of Yanyan Li and Luc Nguyen in their paper "A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound", arXiv:1212.0460

Xu-Jia Wang

arxiv:1212.3130 v2 · 2012-12-13 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZELBC6NTBZYGTAEO3DKHWJMBPK}

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	2026-05-18T03:25:34.794193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9161179b30e7069808ed8d47b25817a98121f77508595c2e65c8b84b3731f09

Aliases

arxiv: 1212.3130 · arxiv_version: 1212.3130v2 · doi: 10.48550/arxiv.1212.3130 · pith_short_12: ZELBC6NTBZYG · pith_short_16: ZELBC6NTBZYGTAEO · pith_short_8: ZELBC6NT

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/ZELBC6NTBZYGTAEO3DKHWJMBPK \
  | 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: c9161179b30e7069808ed8d47b25817a98121f77508595c2e65c8b84b3731f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2ba461b0a78ea195e32f5fa7e3df0110c222b04fce8eeaf93d34a978292eb5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-13T11:14:01Z",
    "title_canon_sha256": "fb8bbae7819a7f5b323c87620d25fc51d13cb37d03da3566b7c8507bd073e8a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3130",
    "kind": "arxiv",
    "version": 2
  }
}