Pith Number

pith:KOS7ZNNF

pith:2007:KOS7ZNNFJ6R5ABSV3Z6T2IIVT2

not attested not anchored not stored refs pending

Some comparison theorems in Finsler-Hadamard manifolds

Alexandr A. Borisenko, Eugeny A. Olin

arxiv:0711.1664 v1 · 2007-11-11 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOS7ZNNFJ6R5ABSV3Z6T2IIVT2}

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	2026-05-18T04:11:29.381560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53a5fcb5a54fa3d00655de7d3d21159e95ddb1eb3ecfba1af0478bcb23f42a83

Aliases

arxiv: 0711.1664 · arxiv_version: 0711.1664v1 · doi: 10.48550/arxiv.0711.1664 · pith_short_12: KOS7ZNNFJ6R5 · pith_short_16: KOS7ZNNFJ6R5ABSV · pith_short_8: KOS7ZNNF

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/KOS7ZNNFJ6R5ABSV3Z6T2IIVT2 \
  | 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: 53a5fcb5a54fa3d00655de7d3d21159e95ddb1eb3ecfba1af0478bcb23f42a83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c670507532a6cb8a119132ca597a1640bc049eb615cd5285c1498b6f3a0808f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-11-11T17:35:56Z",
    "title_canon_sha256": "69d9d6c2dfad4e8b948c05e31d7024399551c89572c12aac39de513092c62101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1664",
    "kind": "arxiv",
    "version": 1
  }
}