Pith Number

pith:B7DFFYYY

pith:2002:B7DFFYYYHHAGELXQR5FZ7AMJXA

not attested not anchored not stored refs pending

Semi-Riemannian submersions with totally umbilic fibres

Gabriel Baditoiu, Stere Ianus

arxiv:math/0206015 v2 · 2002-06-03 · 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{B7DFFYYYHHAGELXQR5FZ7AMJXA}

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	2026-05-18T04:40:46.623480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc652e31839c0622ef08f4b9f8189b8236baa3b9159faee0efd5d559dc95916

Aliases

arxiv: math/0206015 · arxiv_version: math/0206015v2 · doi: 10.48550/arxiv.math/0206015 · pith_short_12: B7DFFYYYHHAG · pith_short_16: B7DFFYYYHHAGELXQ · pith_short_8: B7DFFYYY

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/B7DFFYYYHHAGELXQR5FZ7AMJXA \
  | 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: 0fc652e31839c0622ef08f4b9f8189b8236baa3b9159faee0efd5d559dc95916

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "372412d76ad3a682b6bc71aa89304dd7f41deb2d343f6f7ded0a1f425dc066fc",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2002-06-03T14:11:53Z",
    "title_canon_sha256": "92f25d97582104200c23bef0ebdc270a9a723c4463ab1f2b08026bdfe018e385"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0206015",
    "kind": "arxiv",
    "version": 2
  }
}