Pith Number

pith:Q4JVCJL2

pith:2015:Q4JVCJL2JJS3R37BLKR543OLW3

not attested not anchored not stored refs pending

On the multiplicity of closed geodesics on Finsler spheres with irrationally elliptic closed geodesics

Huagui Duan, Hui Liu

arxiv:1504.07007 v1 · 2015-04-27 · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4JVCJL2JJS3R37BLKR543OLW3}

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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	2026-05-18T01:16:50.761548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

871351257a4a65b8efe15aa3de6dcbb6fcf1110aa9a6cd1b7bdeb75fa8a010f8

Aliases

arxiv: 1504.07007 · arxiv_version: 1504.07007v1 · doi: 10.48550/arxiv.1504.07007 · pith_short_12: Q4JVCJL2JJS3 · pith_short_16: Q4JVCJL2JJS3R37B · pith_short_8: Q4JVCJL2

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/Q4JVCJL2JJS3R37BLKR543OLW3 \
  | 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: 871351257a4a65b8efe15aa3de6dcbb6fcf1110aa9a6cd1b7bdeb75fa8a010f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de11dd1e4332546ee330d6ec31a17fbf4a788867558e6db4d6a32c9735f5e6b1",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-27T09:59:05Z",
    "title_canon_sha256": "4c38f4497b1e09ab5031291776f7ff4560c7c050f0e78da2204bff64abaddcaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07007",
    "kind": "arxiv",
    "version": 1
  }
}