Pith Number

pith:VSNFZMV6

pith:2026:VSNFZMV6QVVNMFEFJXO22OKW7F

not attested not anchored not stored refs pending

Doubly warped product Einstein metrics on spheres

Qiu Shi Wang

arxiv:2606.05519 v1 · 2026-06-03 · 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{VSNFZMV6QVVNMFEFJXO22OKW7F}

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	2026-06-05T01:14:53.544265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac9a5cb2be856ad614854dddad3956f95d54d08e8077131551d7584b93bd7122

Aliases

arxiv: 2606.05519 · arxiv_version: 2606.05519v1 · doi: 10.48550/arxiv.2606.05519 · pith_short_12: VSNFZMV6QVVN · pith_short_16: VSNFZMV6QVVNMFEF · pith_short_8: VSNFZMV6

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/VSNFZMV6QVVNMFEFJXO22OKW7F \
  | 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: ac9a5cb2be856ad614854dddad3956f95d54d08e8077131551d7584b93bd7122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f75e60cfd88d1637560059ba1acadedd3c85afeaae3e00e160205dee4b0771aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-06-03T23:49:06Z",
    "title_canon_sha256": "6495337872fd0b410c0626046a96e1731716c36e89db2a6725053b623ebcab4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.05519",
    "kind": "arxiv",
    "version": 1
  }
}