Pith Number

pith:3KGDB4RE

pith:2023:3KGDB4RETT4K5PVL7T567YKZQN

not attested not anchored not stored refs pending

Alexandrov's Patchwork and the Bonnet--Myers Theorem for Lorentzian length spaces

Felix Rott, Lewis Napper, Tobias Beran

arxiv:2302.11615 v3 · 2023-02-22 · math.DG · math-ph · math.MG · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KGDB4RETT4K5PVL7T567YKZQN}

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

Low regularity approach to Bartnik's conjecture

Receipt and verification

First computed	2026-07-05T11:00:34.489776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da8c30f2249cf8aebeabfcfbefe159836ef4219610862edff25532b5e032faa4

Aliases

arxiv: 2302.11615 · arxiv_version: 2302.11615v3 · doi: 10.48550/arxiv.2302.11615 · pith_short_12: 3KGDB4RETT4K · pith_short_16: 3KGDB4RETT4K5PVL · pith_short_8: 3KGDB4RE

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/3KGDB4RETT4K5PVL7T567YKZQN \
  | 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: da8c30f2249cf8aebeabfcfbefe159836ef4219610862edff25532b5e032faa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4cdd71683a3088a9328f60319ecdf73b1c3775d8861de16cd9b7adefec0f9f8b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MG",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-02-22T19:43:23Z",
    "title_canon_sha256": "7266c84760293daa5bb33893ce42f420898fb0476fb74bdf8e1ba871f26a2358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.11615",
    "kind": "arxiv",
    "version": 3
  }
}