Pith Number

pith:PV3VWOSK

pith:2015:PV3VWOSK6ZL6JDK3V3FUXIFCOJ

not attested not anchored not stored refs pending

On kappa-noncollapsed complete noncompact shrinking gradient Ricci solitons which split at infinity

Bennett Chow, Peng Lu

arxiv:1509.03747 v1 · 2015-09-12 · 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{PV3VWOSK6ZL6JDK3V3FUXIFCOJ}

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	2026-05-18T01:33:14.639750Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d775b3a4af657e48d5baecb4ba0a2726d4e73e0a2d6d013de18c058953a7b13

Aliases

arxiv: 1509.03747 · arxiv_version: 1509.03747v1 · doi: 10.48550/arxiv.1509.03747 · pith_short_12: PV3VWOSK6ZL6 · pith_short_16: PV3VWOSK6ZL6JDK3 · pith_short_8: PV3VWOSK

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/PV3VWOSK6ZL6JDK3V3FUXIFCOJ \
  | 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: 7d775b3a4af657e48d5baecb4ba0a2726d4e73e0a2d6d013de18c058953a7b13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "711a1c73eaa59d072f2a9a1afdf6c1e736f64fe6b227ee5ccfd718da184a7bd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-09-12T14:12:27Z",
    "title_canon_sha256": "b75950cb53c304e8b06ee047ecc31abbd7bcd3199e1abd937bbb3ed517be57eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03747",
    "kind": "arxiv",
    "version": 1
  }
}