Pith Number

pith:B4W7QV7H

pith:2018:B4W7QV7HMOCLVH6ZPFK57MMCQF

not attested not anchored not stored refs pending

The volume of a compact hyperbolic antiprism

Bao Vuong, Nikolay Abrosimov

arxiv:1807.08297 v1 · 2018-07-22 · 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{B4W7QV7HMOCLVH6ZPFK57MMCQF}

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	2026-05-18T00:10:08.519716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f2df857e76384ba9fd97955dfb1828148de7b6c490105a05603fdbcc494e4f6

Aliases

arxiv: 1807.08297 · arxiv_version: 1807.08297v1 · doi: 10.48550/arxiv.1807.08297 · pith_short_12: B4W7QV7HMOCL · pith_short_16: B4W7QV7HMOCLVH6Z · pith_short_8: B4W7QV7H

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/B4W7QV7HMOCLVH6ZPFK57MMCQF \
  | 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: 0f2df857e76384ba9fd97955dfb1828148de7b6c490105a05603fdbcc494e4f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "847219d418a2609945c21ef501628b0e294617b6910336dbb326df2e07d33308",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-07-22T15:19:25Z",
    "title_canon_sha256": "14399cc35c141f1421eb546c8241486f55120a9d1540f6f9c0a11dff76e9321a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.08297",
    "kind": "arxiv",
    "version": 1
  }
}