Pith Number

pith:Q7QSBJME

pith:2013:Q7QSBJMEWDUZIOQWOEMB7GPHZQ

not attested not anchored not stored refs pending

On shrinking Gradient Ricci Soliton With Nonnegative Sectional Curvature

Mingliang Cai

arxiv:1303.2728 v3 · 2013-03-12 · 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{Q7QSBJMEWDUZIOQWOEMB7GPHZQ}

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	2026-05-18T02:30:32.675870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87e120a584b0e9943a1671181f99e7cc0af6a58451dcc6fb31120ebceacc9c59

Aliases

arxiv: 1303.2728 · arxiv_version: 1303.2728v3 · doi: 10.48550/arxiv.1303.2728 · pith_short_12: Q7QSBJMEWDUZ · pith_short_16: Q7QSBJMEWDUZIOQW · pith_short_8: Q7QSBJME

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/Q7QSBJMEWDUZIOQWOEMB7GPHZQ \
  | 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: 87e120a584b0e9943a1671181f99e7cc0af6a58451dcc6fb31120ebceacc9c59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b5ae9cd0b55d02679afb39ccb186041f7ff948ea1285484aa53c8e7fdf8a09e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-12T00:10:37Z",
    "title_canon_sha256": "148378e6149c54c9ed1cc12225d8d64d4822c2467fc9b6e4cc99eb641586c1ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2728",
    "kind": "arxiv",
    "version": 3
  }
}