Pith Number

pith:TGORMRBO

pith:2013:TGORMRBONOBTNUYZTSW3BASQSR

not attested not anchored not stored refs pending

Volumes of polytopes in spaces of constant curvature

Alexander Mednykh, Nikolay Abrosimov

arxiv:1302.4919 v2 · 2013-02-20 · 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{TGORMRBONOBTNUYZTSW3BASQSR}

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	2026-05-18T03:32:19.565158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

999d16442e6b8336d3199cadb08250944b86007d0d648b70025febe552ed0154

Aliases

arxiv: 1302.4919 · arxiv_version: 1302.4919v2 · doi: 10.48550/arxiv.1302.4919 · pith_short_12: TGORMRBONOBT · pith_short_16: TGORMRBONOBTNUYZ · pith_short_8: TGORMRBO

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/TGORMRBONOBTNUYZTSW3BASQSR \
  | 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: 999d16442e6b8336d3199cadb08250944b86007d0d648b70025febe552ed0154

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "054ddbd95aa491597d5f1afcda8b2300e2d85bb28cf6cff104016dd6d43ccb2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-02-20T14:47:54Z",
    "title_canon_sha256": "9896bb6ec34366f5ed0fb2445cbcf5ea24db3ccd21dbd91f4cf11666c613f11e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.4919",
    "kind": "arxiv",
    "version": 2
  }
}