Pith Number

pith:OCQ5SJ55

pith:2013:OCQ5SJ552VYES6AWYYMEZAG7S3

not attested not anchored not stored refs pending

Funk and Hilbert geometries from the Finslerian Viewpoint

Marc Troyanov

arxiv:1311.2508 v1 · 2013-11-11 · 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{OCQ5SJ552VYES6AWYYMEZAG7S3}

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.

Cited by

1 paper in Pith

On The Heine-Borel Property and Minimum Enclosing Balls

Receipt and verification

First computed	2026-05-18T03:07:32.485913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

70a1d927bdd570497816c6184c80df96c28cd72ce312d6298a20bb7cb6732a7b

Aliases

arxiv: 1311.2508 · arxiv_version: 1311.2508v1 · doi: 10.48550/arxiv.1311.2508 · pith_short_12: OCQ5SJ552VYE · pith_short_16: OCQ5SJ552VYES6AW · pith_short_8: OCQ5SJ55

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/OCQ5SJ552VYES6AWYYMEZAG7S3 \
  | 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: 70a1d927bdd570497816c6184c80df96c28cd72ce312d6298a20bb7cb6732a7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6022c97726fc0ec87317939a9f6a62e1b7678b56957153221477a8e4f553d36f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-11-11T17:32:42Z",
    "title_canon_sha256": "9871abbc5ceb29364a8ab7b5b6dfe2f0eed27bfdfbca379411f8a9554128a3d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2508",
    "kind": "arxiv",
    "version": 1
  }
}