Pith Number

pith:PGWUCAGE

pith:2009:PGWUCAGEZT2FNSKLF5MBHPYJKK

not attested not anchored not stored refs pending

Splitting and gluing constructions for geodesically equivalent pseudo-Riemannian metrics

Alexey V. Bolsinov, Vladimir S. Matveev

arxiv:0904.0535 v1 · 2009-04-03 · 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{PGWUCAGEZT2FNSKLF5MBHPYJKK}

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	2026-05-18T04:16:12.304700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79ad4100c4ccf456c94b2f5813bf0952b07bb0f6061aaadb0f17ed3bd7a2932c

Aliases

arxiv: 0904.0535 · arxiv_version: 0904.0535v1 · doi: 10.48550/arxiv.0904.0535 · pith_short_12: PGWUCAGEZT2F · pith_short_16: PGWUCAGEZT2FNSKL · pith_short_8: PGWUCAGE

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/PGWUCAGEZT2FNSKLF5MBHPYJKK \
  | 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: 79ad4100c4ccf456c94b2f5813bf0952b07bb0f6061aaadb0f17ed3bd7a2932c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1ebfbcc0521207f6db1772c23628eec19fc5f6926ced693c09972935cef45276",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-04-03T10:00:15Z",
    "title_canon_sha256": "cef53bb1a5b1613b16378e62c62579cb686c63aec3fe5bcacefcebe91445161f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0535",
    "kind": "arxiv",
    "version": 1
  }
}