Pith Number

pith:CIV7CJ7F

pith:2010:CIV7CJ7FFXQJ3MBF4I4YYLUOSK

not attested not anchored not stored refs pending

Biharmonic Riemannian submersions from 3-manifolds

Ye-Lin Ou, Ze-Ping Wang

arxiv:1002.4439 v1 · 2010-02-24 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CIV7CJ7FFXQJ3MBF4I4YYLUOSK}

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	2026-05-18T04:32:19.465168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

122bf127e52de09db025e2398c2e8e928b9effe9e6edc0785c3b8197f76bb7e0

Aliases

arxiv: 1002.4439 · arxiv_version: 1002.4439v1 · doi: 10.48550/arxiv.1002.4439 · pith_short_12: CIV7CJ7FFXQJ · pith_short_16: CIV7CJ7FFXQJ3MBF · pith_short_8: CIV7CJ7F

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/CIV7CJ7FFXQJ3MBF4I4YYLUOSK \
  | 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: 122bf127e52de09db025e2398c2e8e928b9effe9e6edc0785c3b8197f76bb7e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a58924ec0b34eacb888dadff5085c6ef7d0b178368701df73bab3f17f7074c54",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-02-24T04:05:45Z",
    "title_canon_sha256": "3deab179113faf645a86c631df84a1603fb8634bac0e07c260cc0dc1db7f0c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4439",
    "kind": "arxiv",
    "version": 1
  }
}