Pith Number

pith:U3QRHMPT

pith:2023:U3QRHMPTPI4AFAGGLRB5EUMJVG

not attested not anchored not stored refs pending

Guts and The Minimal Volume Orientable Hyperbolic 3-Manifold with 3 Cusps

Yue Zhang

arxiv:2304.09950 v1 · 2023-04-19 · 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{U3QRHMPTPI4AFAGGLRB5EUMJVG}

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	2026-07-05T06:02:52.273220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6e113b1f37a380280c65c43d25189a9807869ed40e50a6c6454af63ef3d83fa

Aliases

arxiv: 2304.09950 · arxiv_version: 2304.09950v1 · doi: 10.48550/arxiv.2304.09950 · pith_short_12: U3QRHMPTPI4A · pith_short_16: U3QRHMPTPI4AFAGG · pith_short_8: U3QRHMPT

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/U3QRHMPTPI4AFAGGLRB5EUMJVG \
  | 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: a6e113b1f37a380280c65c43d25189a9807869ed40e50a6c6454af63ef3d83fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f04479d2459dfe6a27f89e1904e19f6664c1feba896518c8d3bd0a239ccb5ed8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-04-19T20:05:15Z",
    "title_canon_sha256": "314f6edc87157997ead51e335d64767281471ee825c98d3180ac7ac32e9a9c6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2304.09950",
    "kind": "arxiv",
    "version": 1
  }
}