Pith Number

pith:QBLJXLFL

pith:2013:QBLJXLFLWA772QMAY4HH3M2777

not attested not anchored not stored refs pending

Uniqueness of asymptotically cylindrical gradient shrinking Ricci solitons

Alix Deruelle, Giovanni Catino, Lorenzo Mazzieri

arxiv:1311.7499 v4 · 2013-11-29 · 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{QBLJXLFLWA772QMAY4HH3M2777}

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	2026-05-18T02:30:47.530050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80569bacabb03ffd4180c70e7db35fffe54d253ac8b3a62efb808206ee38691c

Aliases

arxiv: 1311.7499 · arxiv_version: 1311.7499v4 · doi: 10.48550/arxiv.1311.7499 · pith_short_12: QBLJXLFLWA77 · pith_short_16: QBLJXLFLWA772QMA · pith_short_8: QBLJXLFL

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/QBLJXLFLWA772QMAY4HH3M2777 \
  | 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: 80569bacabb03ffd4180c70e7db35fffe54d253ac8b3a62efb808206ee38691c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e13bb791b9f2fdd6c59fe21623fdd5e36614959295b25b06523e8c4aa761df5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-29T09:37:03Z",
    "title_canon_sha256": "0340284a00bc1f3da2a017d2bf54908efaebaf6f3e3d42d70f1f4322074f03bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7499",
    "kind": "arxiv",
    "version": 4
  }
}