Pith Number

pith:4X65EJEU

pith:2026:4X65EJEU3ONDS6RJ33HM5623GK

not attested not anchored not stored refs pending

Normalized volume spectra of right-angled hyperbolic polyhedra

A. Egorov, A. Vesnin

arxiv:2605.18558 v1 · 2026-05-18 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4X65EJEU3ONDS6RJ33HM5623GK}

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	2026-05-20T00:06:07.649070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5fdd22494db9a397a29dececefb5b32af345b924122f0dc12481cf3eda816eb

Aliases

arxiv: 2605.18558 · arxiv_version: 2605.18558v1 · doi: 10.48550/arxiv.2605.18558 · pith_short_12: 4X65EJEU3OND · pith_short_16: 4X65EJEU3ONDS6RJ · pith_short_8: 4X65EJEU

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/4X65EJEU3ONDS6RJ33HM5623GK \
  | 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: e5fdd22494db9a397a29dececefb5b32af345b924122f0dc12481cf3eda816eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e948a9daeb4ff7b425085d729cdd1bdfec5cdbe6c66a0593209a1abd4017822",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-05-18T15:39:24Z",
    "title_canon_sha256": "d1aee6918346fcb70d432fe18a8c8d17f246cc47e14521e51331f409ca7039cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.18558",
    "kind": "arxiv",
    "version": 1
  }
}