Pith Number

pith:JBZFXD5F

pith:2011:JBZFXD5FIKXUS4M4YL7QZ5HVNW

not attested not anchored not stored refs pending

A lower bound for the scalar curvature of noncompact nonflat Ricci shrinkers

Bennett Chow, Bo Yang, Peng Lu

arxiv:1102.0548 v1 · 2011-02-02 · 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{JBZFXD5FIKXUS4M4YL7QZ5HVNW}

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	2026-05-18T04:30:04.813006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48725b8fa542af49719cc2ff0cf4f56da4d588b7ec3e4e2e944abbee3f43b2fa

Aliases

arxiv: 1102.0548 · arxiv_version: 1102.0548v1 · doi: 10.48550/arxiv.1102.0548 · pith_short_12: JBZFXD5FIKXU · pith_short_16: JBZFXD5FIKXUS4M4 · pith_short_8: JBZFXD5F

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/JBZFXD5FIKXUS4M4YL7QZ5HVNW \
  | 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: 48725b8fa542af49719cc2ff0cf4f56da4d588b7ec3e4e2e944abbee3f43b2fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f39e0cde14ef3e96a54fe6f9089e8a19419ee6a3f85f062638d2b223757098c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-02T20:26:43Z",
    "title_canon_sha256": "e42fe45eaad023e586c5611641ab01e9b8c06411f59489988749907ec928d09a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0548",
    "kind": "arxiv",
    "version": 1
  }
}