Pith Number

pith:RPH4VXCG

pith:2018:RPH4VXCGFJJW2KAMCTZE5CZEZG

not attested not anchored not stored refs pending

Erratum for Ricci-flat graphs with girth at least five

David Cushing, Linyuan Lu, Riikka Kangaslampi, Shing-Tung Yau, Shiping Liu, Yong Lin

arxiv:1802.02979 v2 · 2018-02-08 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RPH4VXCGFJJW2KAMCTZE5CZEZG}

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	2026-05-17T23:46:46.450923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bcfcadc462a536d280c14f24e8b24c99d3d4619828c3cf540df201ee294c286

Aliases

arxiv: 1802.02979 · arxiv_version: 1802.02979v2 · doi: 10.48550/arxiv.1802.02979 · pith_short_12: RPH4VXCGFJJW · pith_short_16: RPH4VXCGFJJW2KAM · pith_short_8: RPH4VXCG

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/RPH4VXCGFJJW2KAMCTZE5CZEZG \
  | 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: 8bcfcadc462a536d280c14f24e8b24c99d3d4619828c3cf540df201ee294c286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a9d1d4f10744611a4981af8865bbbbac76775b661c142470dd0f5e81c1aab0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-02-08T17:43:26Z",
    "title_canon_sha256": "9422ebb0469e1c54fea7dcf7eacacef4c400f5671b88e98797233d893b3c301f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.02979",
    "kind": "arxiv",
    "version": 2
  }
}