Pith Number

pith:LCNAESGK

pith:2013:LCNAESGKJWDV4Y3XQK5ZX4HEZ2

not attested not anchored not stored refs pending

Rotational symmetry of non negatively curved expanding gradient Ricci solitons

Alix Deruelle

arxiv:1303.3446 v2 · 2013-03-14 · 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{LCNAESGKJWDV4Y3XQK5ZX4HEZ2}

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	2026-05-18T03:19:43.847497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

589a0248ca4d875e637782bb9bf0e4ceb433bcb02db218200537e2484dcbd70b

Aliases

arxiv: 1303.3446 · arxiv_version: 1303.3446v2 · doi: 10.48550/arxiv.1303.3446 · pith_short_12: LCNAESGKJWDV · pith_short_16: LCNAESGKJWDV4Y3X · pith_short_8: LCNAESGK

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/LCNAESGKJWDV4Y3XQK5ZX4HEZ2 \
  | 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: 589a0248ca4d875e637782bb9bf0e4ceb433bcb02db218200537e2484dcbd70b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b60011c28f99da38bbb666310f11f4e46cfce61cfa81d0f4f2ecf4fe85e873d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-03-14T13:45:10Z",
    "title_canon_sha256": "d3172ded97de39738f4cc1508669b4c203f66213ab821c3277cb9fea4585f2f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3446",
    "kind": "arxiv",
    "version": 2
  }
}