Pith Number

pith:GHMAIZ4C

pith:1997:GHMAIZ4CGFN5CYUERAW2326GPU

not attested not anchored not stored refs pending

On the geometry and topology of manifolds of positive bi-Ricci curvature

Rugang Ye, Ying Shen

arxiv:dg-ga/9708014 v1 · 1997-08-28 · dg-ga · 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{GHMAIZ4CGFN5CYUERAW2326GPU}

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.

Cited by

1 paper in Pith

Closed minimal surfaces of index one in Riemannian manifolds

Receipt and verification

First computed	2026-07-04T15:08:46.916476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31d8046782315bd16284882dadebc67d23bbef3e3971e471ddb7ef6448ec6a54

Aliases

arxiv: dg-ga/9708014 · arxiv_version: dg-ga/9708014v1 · doi: 10.48550/arxiv.dg-ga/9708014 · pith_short_12: GHMAIZ4CGFN5 · pith_short_16: GHMAIZ4CGFN5CYUE · pith_short_8: GHMAIZ4C

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/GHMAIZ4CGFN5CYUERAW2326GPU \
  | 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: 31d8046782315bd16284882dadebc67d23bbef3e3971e471ddb7ef6448ec6a54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "251d59b38e701c1a1d247fe034c83b5b7209e1ca1953c2ef03e01224c12931a0",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "dg-ga",
    "submitted_at": "1997-08-28T18:39:13Z",
    "title_canon_sha256": "d861dce497f29ff9d43cf4d1c9f225c5d8b012a738687550ca3a4716fe0e4a3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "dg-ga/9708014",
    "kind": "arxiv",
    "version": 1
  }
}