Pith Number

pith:56GULITG

pith:2012:56GULITGJKEWJKTLFEX747RYFX

not attested not anchored not stored refs pending

Structure of homogeneous Ricci solitons and the Alekseevskii conjecture

Jorge Lauret, Ramiro Lafuente

arxiv:1212.6511 v2 · 2012-12-28 · 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{56GULITGJKEWJKTLFEX747RYFX}

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	2026-05-18T03:09:12.919851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef8d45a2664a8964aa6b292ffe7e382ddf07fbda491227570b6502ade5f0a697

Aliases

arxiv: 1212.6511 · arxiv_version: 1212.6511v2 · doi: 10.48550/arxiv.1212.6511 · pith_short_12: 56GULITGJKEW · pith_short_16: 56GULITGJKEWJKTL · pith_short_8: 56GULITG

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/56GULITGJKEWJKTLFEX747RYFX \
  | 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: ef8d45a2664a8964aa6b292ffe7e382ddf07fbda491227570b6502ade5f0a697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "282f7394ecffc3e9d0bed246a59a322b4b853172d043ac5b372e0492b10419f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-12-28T12:41:40Z",
    "title_canon_sha256": "ff6ddb4fa8ac311d3063c16957e2208224ebe637cab95e4d80a0c482ed23b905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6511",
    "kind": "arxiv",
    "version": 2
  }
}