Pith Number

pith:A5V5HBWL

pith:2018:A5V5HBWLPOWSW23DATAPJNOJCR

not attested not anchored not stored refs pending

Ricci-flat graphs with girth four

Chao Yang, Jun Luo, Weihua He, Wei Yuan

arxiv:1807.07253 v1 · 2018-07-19 · math.CO · 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{A5V5HBWLPOWSW23DATAPJNOJCR}

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	2026-05-18T00:10:20.749939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

076bd386cb7bad2b6b6304c0f4b5c9144575d27719aba4b2f748034ca0860590

Aliases

arxiv: 1807.07253 · arxiv_version: 1807.07253v1 · doi: 10.48550/arxiv.1807.07253 · pith_short_12: A5V5HBWLPOWS · pith_short_16: A5V5HBWLPOWSW23D · pith_short_8: A5V5HBWL

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/A5V5HBWLPOWSW23DATAPJNOJCR \
  | 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: 076bd386cb7bad2b6b6304c0f4b5c9144575d27719aba4b2f748034ca0860590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce827babc1a5c91978a4620c1a33d3d3b32f4ebe9d5a087090fa552e9368779",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-19T06:26:11Z",
    "title_canon_sha256": "f0407f22ed44f41190c13a98f9082053909bb9f1167ab09937c0b401fe08611f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.07253",
    "kind": "arxiv",
    "version": 1
  }
}