Pith Number

pith:I3V7XZQ2

pith:2015:I3V7XZQ23QQRLXUPVZOZ43LZP6

not attested not anchored not stored refs pending

Non-hyperbolic closed geodesics on positively curved Finsler spheres

Huagui Duan

arxiv:1508.05577 v1 · 2015-08-23 · math.DS · 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{I3V7XZQ23QQRLXUPVZOZ43LZP6}

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	2026-05-18T01:33:51.228355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46ebfbe61adc2115de8fae5d9e6d797fa2e0be0718e7a3b79da2527b1b997001

Aliases

arxiv: 1508.05577 · arxiv_version: 1508.05577v1 · doi: 10.48550/arxiv.1508.05577 · pith_short_12: I3V7XZQ23QQR · pith_short_16: I3V7XZQ23QQRLXUP · pith_short_8: I3V7XZQ2

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/I3V7XZQ23QQRLXUPVZOZ43LZP6 \
  | 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: 46ebfbe61adc2115de8fae5d9e6d797fa2e0be0718e7a3b79da2527b1b997001

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a756a41a1ae9b607cd5d98dd45da48d15f78f05d2a58c9a660267bb6f0595372",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-08-23T08:33:39Z",
    "title_canon_sha256": "94601dacec869b39eba359bcb2af5f2f0bb1cc40e52666ddcff3582bd9ed61e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05577",
    "kind": "arxiv",
    "version": 1
  }
}