Pith Number

pith:IHBOHY5M

pith:2005:IHBOHY5M5C437ZZGZRO6QING5D

not attested not anchored not stored refs pending

Existence of closed geodesics on positively curved Finsler manifolds

Hans-Bert Rademacher

arxiv:math/0503153 v2 · 2005-03-08 · 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{IHBOHY5M5C437ZZGZRO6QING5D}

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	2026-05-18T01:05:23.655337Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41c2e3e3ace8b9bfe726cc5de821a6e8d70aad09ce3d22f6575a47b28d61b895

Aliases

arxiv: math/0503153 · arxiv_version: math/0503153v2 · doi: 10.48550/arxiv.math/0503153 · pith_short_12: IHBOHY5M5C43 · pith_short_16: IHBOHY5M5C437ZZG · pith_short_8: IHBOHY5M

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/IHBOHY5M5C437ZZGZRO6QING5D \
  | 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: 41c2e3e3ace8b9bfe726cc5de821a6e8d70aad09ce3d22f6575a47b28d61b895

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa0dc6b7ec2f42e8f026218f8c9450c189aa278b1044cc971384f91023c99641",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2005-03-08T16:37:46Z",
    "title_canon_sha256": "616be63fc6aab91cadcb81cb784ff54a15ce5a0fd0b43eaa7284e72efa352514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503153",
    "kind": "arxiv",
    "version": 2
  }
}