Pith Number

pith:JCIT7LCE

pith:2011:JCIT7LCEL2JACUUKELDPDUDHAW

not attested not anchored not stored refs pending

Weak Ricci curvature bounds for Ricci shrinkers

Bennett Chow, Bo Yang, Peng Lu

arxiv:1104.1406 v1 · 2011-04-07 · 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{JCIT7LCEL2JACUUKELDPDUDHAW}

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	2026-05-18T04:24:52.313752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48913fac445e9201528a22c6f1d067058f6c5f9dc344913a02eb69138f049255

Aliases

arxiv: 1104.1406 · arxiv_version: 1104.1406v1 · doi: 10.48550/arxiv.1104.1406 · pith_short_12: JCIT7LCEL2JA · pith_short_16: JCIT7LCEL2JACUUK · pith_short_8: JCIT7LCE

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/JCIT7LCEL2JACUUKELDPDUDHAW \
  | 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: 48913fac445e9201528a22c6f1d067058f6c5f9dc344913a02eb69138f049255

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08205538a7e7e052443e5c4c37faf10dc4dc076ec77528c568e92e4c69d1771d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-04-07T19:03:22Z",
    "title_canon_sha256": "1a30f662468dbdf6908eb21534df9a2a0c88b066197cbd3f904a04d6cd7383a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1406",
    "kind": "arxiv",
    "version": 1
  }
}