Pith Number

pith:BHA54JIQ

pith:2019:BHA54JIQ5S5AILWK3YC5N62UOX

not attested not anchored not stored refs pending

Alexandrov geometry: foundations

Anton Petrunin, Stephanie Alexander, Vitali Kapovitch

arxiv:1903.08539 v6 · 2019-03-20 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BHA54JIQ5S5AILWK3YC5N62UOX}

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

3 papers in Pith

A note on flatness of non separable tangent cone

Partial regularity of harmonic maps from Alexandrov spaces

Limits of manifolds with boundary I

Receipt and verification

First computed	2026-07-05T06:19:13.920491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09c1de2510ecba042ecade05d6fb5475cf6e7ff2fb4565ac59aa7358245f2260

Aliases

arxiv: 1903.08539 · arxiv_version: 1903.08539v6 · doi: 10.48550/arxiv.1903.08539 · pith_short_12: BHA54JIQ5S5A · pith_short_16: BHA54JIQ5S5AILWK · pith_short_8: BHA54JIQ

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/BHA54JIQ5S5AILWK3YC5N62UOX \
  | 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: 09c1de2510ecba042ecade05d6fb5475cf6e7ff2fb4565ac59aa7358245f2260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5d803196102b2819851e84f94055b0879dbf0738c7b7cec1bfbd1b73dacac0e",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-20T15:05:02Z",
    "title_canon_sha256": "106a93f01331d49542d9c3521d88b75b7eda8f893e74007c515acb2a39dcc534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.08539",
    "kind": "arxiv",
    "version": 6
  }
}