Pith Number

pith:3NKJYLHK

pith:2014:3NKJYLHKF3FT6R6NBXRQ3HXDYA

not attested not anchored not stored refs pending

Uniqueness of shortest closed geodesics for generic Finsler metrics

Jan Philipp Schr\"oder

arxiv:1405.2756 v1 · 2014-05-12 · 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{3NKJYLHKF3FT6R6NBXRQ3HXDYA}

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	2026-05-18T02:52:04.831776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db549c2cea2ecb3f47cd0de30d9ee3c0367687202a2b143097f90e936ecd5ac4

Aliases

arxiv: 1405.2756 · arxiv_version: 1405.2756v1 · doi: 10.48550/arxiv.1405.2756 · pith_short_12: 3NKJYLHKF3FT · pith_short_16: 3NKJYLHKF3FT6R6N · pith_short_8: 3NKJYLHK

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/3NKJYLHKF3FT6R6NBXRQ3HXDYA \
  | 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: db549c2cea2ecb3f47cd0de30d9ee3c0367687202a2b143097f90e936ecd5ac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3d1b92d9a72e7bc89f44fe324358a672f44a62b271c33823e38c9be1a0f6fff",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-05-12T13:46:56Z",
    "title_canon_sha256": "c2ac25ce1c881383ae42daea26efe4a57c9a806966b5b1be1f1f6fe152bc3960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2756",
    "kind": "arxiv",
    "version": 1
  }
}