Pith Number

pith:74FQKX4N

pith:2009:74FQKX4NWEGSULNV3LD27JPRWD

not attested not anchored not stored refs pending

Geometry of Complete Gradient Shrinking Ricci Solitons

Huai-Dong Cao

arxiv:0903.3927 v2 · 2009-03-23 · 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{74FQKX4NWEGSULNV3LD27JPRWD}

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	2026-05-18T04:29:54.103675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff0b055f8db10d2a2db5dac7afa5f1b0cde428668fe8e2b1d5ef4f42c59a48e5

Aliases

arxiv: 0903.3927 · arxiv_version: 0903.3927v2 · doi: 10.48550/arxiv.0903.3927 · pith_short_12: 74FQKX4NWEGS · pith_short_16: 74FQKX4NWEGSULNV · pith_short_8: 74FQKX4N

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/74FQKX4NWEGSULNV3LD27JPRWD \
  | 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: ff0b055f8db10d2a2db5dac7afa5f1b0cde428668fe8e2b1d5ef4f42c59a48e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49849bf28f2ac1e9c6a184869d1484d0a3f1e8256f7fb5ed3946779cafc3b546",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-03-23T18:41:43Z",
    "title_canon_sha256": "db32c2f3a80ec44183fbba96736606c3b5532241c6aa853eef24698f073fe975"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3927",
    "kind": "arxiv",
    "version": 2
  }
}