Pith Number

pith:QIB6K3GA

pith:2004:QIB6K3GALSBKYKTXAMJE7IF44Q

not attested not anchored not stored refs pending

Closed manifolds admitting metrics with the same geodesics

Vladimir S. Matveev

arxiv:math/0407245 v1 · 2004-07-14 · math.DG · math.DS · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIB6K3GALSBKYKTXAMJE7IF44Q}

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	2026-05-18T00:57:18.936483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8203e56cc05c82ac2a7703124fa0bce43dd724021fce0e8bfb1407a30edfa33a

Aliases

arxiv: math/0407245 · arxiv_version: math/0407245v1 · doi: 10.48550/arxiv.math/0407245 · pith_short_12: QIB6K3GALSBK · pith_short_16: QIB6K3GALSBKYKTX · pith_short_8: QIB6K3GA

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/QIB6K3GALSBKYKTXAMJE7IF44Q \
  | 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: 8203e56cc05c82ac2a7703124fa0bce43dd724021fce0e8bfb1407a30edfa33a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c29cb7a4dd5fbe4a81f5017dadc1641d4eca6fc77b0d01ad7c6b928473ca5f8",
    "cross_cats_sorted": [
      "math.DS",
      "math.GT",
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2004-07-14T12:19:50Z",
    "title_canon_sha256": "239ee623b2b91a053989fda7e6b9e434653e3e463dabe895a5932e4f5396869c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407245",
    "kind": "arxiv",
    "version": 1
  }
}