Pith Number

pith:FPVW7IQO

pith:2023:FPVW7IQO7BYHIJTBNJXZGYKLFH

not attested not anchored not stored refs pending

Hopf-Rinow Theorem of sub-Finslerian geometry

Laszlo Kozma, Layth M. Alabdulsada

arxiv:2301.13438 v1 · 2023-01-31 · 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{FPVW7IQO7BYHIJTBNJXZGYKLFH}

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	2026-07-05T05:37:14.777177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2beb6fa20ef8707426616a6f93614b29caeb0294f3b613a2a416ad607adeeed6

Aliases

arxiv: 2301.13438 · arxiv_version: 2301.13438v1 · doi: 10.48550/arxiv.2301.13438 · pith_short_12: FPVW7IQO7BYH · pith_short_16: FPVW7IQO7BYHIJTB · pith_short_8: FPVW7IQO

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/FPVW7IQO7BYHIJTBNJXZGYKLFH \
  | 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: 2beb6fa20ef8707426616a6f93614b29caeb0294f3b613a2a416ad607adeeed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbf60ef216d00a968a122fe06ceea79ee4398f13102c5cd15119615fe2a3fb03",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-01-31T06:25:47Z",
    "title_canon_sha256": "f2bdac02903c16836ce8edc34cc52042afea52b15d46944e0caf755c495a1844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.13438",
    "kind": "arxiv",
    "version": 1
  }
}