Pith Number

pith:GVGFFOIF

pith:2011:GVGFFOIFVEMIC3QDPOM2S5J3PA

not attested not anchored not stored refs pending

Two-sided bounds for the volume of right-angled hyperbolic polyhedra

Andrei Vesnin, Du\v{s}an Repov\v{s}

arxiv:1104.3437 v1 · 2011-04-18 · math.GT · 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{GVGFFOIFVEMIC3QDPOM2S5J3PA}

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	2026-05-18T04:24:05.069632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

354c52b905a918816e037b99a9753b782c247ff5766efb807259b5e2d3dd4b59

Aliases

arxiv: 1104.3437 · arxiv_version: 1104.3437v1 · doi: 10.48550/arxiv.1104.3437 · pith_short_12: GVGFFOIFVEMI · pith_short_16: GVGFFOIFVEMIC3QD · pith_short_8: GVGFFOIF

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/GVGFFOIFVEMIC3QDPOM2S5J3PA \
  | 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: 354c52b905a918816e037b99a9753b782c247ff5766efb807259b5e2d3dd4b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53994fd2adcf72cffd56fa5afc3c7d87fe02d4a1d5dd56107e82b9e6f0beb261",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-04-18T11:22:05Z",
    "title_canon_sha256": "ba5f69b589424f71d900dea01cf779271811666874f03d2202863f1deb80078c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3437",
    "kind": "arxiv",
    "version": 1
  }
}