Pith Number

pith:TNWV2KEO

pith:2011:TNWV2KEOD6WC7IDF6QK7LWANE7

not attested not anchored not stored refs pending

A lower bound for the scalar curvature of certain steady gradient Ricci solitons

Bennett Chow, Bo Yang, Peng Lu

arxiv:1102.4424 v1 · 2011-02-22 · 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{TNWV2KEOD6WC7IDF6QK7LWANE7}

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	2026-05-18T04:28:08.997544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b6d5d288e1fac2fa065f415f5d80d27e71c2f2e861238796d95f382c4e85ed6

Aliases

arxiv: 1102.4424 · arxiv_version: 1102.4424v1 · doi: 10.48550/arxiv.1102.4424 · pith_short_12: TNWV2KEOD6WC · pith_short_16: TNWV2KEOD6WC7IDF · pith_short_8: TNWV2KEO

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/TNWV2KEOD6WC7IDF6QK7LWANE7 \
  | 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: 9b6d5d288e1fac2fa065f415f5d80d27e71c2f2e861238796d95f382c4e85ed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eba11a405423fcbbcda8d4cbba76f3978fd757e5ba8165fb30f384495432846",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-02-22T07:47:37Z",
    "title_canon_sha256": "68ce802b244a891a419bbcafea30b43b8231c96897848b8998e0f09aca5dc2c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4424",
    "kind": "arxiv",
    "version": 1
  }
}