Pith Number

pith:5QE52GCV

pith:2021:5QE52GCVU7JPY2BQJTVKVSHX7K

not attested not anchored not stored refs pending

Hyperbolic 3-manifolds of low cusp volume

Andrew Yarmola, David Gabai, Nathaniel Thurston, Robert Haraway, Robert Meyerhoff

arxiv:2109.14570 v1 · 2021-09-29 · 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{5QE52GCVU7JPY2BQJTVKVSHX7K}

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.

Cited by

3 papers in Pith

Hyperbolic manifolds without positive spun triangulations

Systole, inradius and rigidity of cusped hyperbolic 3-manifolds

The search for alternating surgeries

Receipt and verification

First computed	2026-07-05T03:18:36.412935Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec09dd1855a7d2fc68304ceaaac8f7faa0b525c0558aedb0f00d771a4e9f8bf5

Aliases

arxiv: 2109.14570 · arxiv_version: 2109.14570v1 · doi: 10.48550/arxiv.2109.14570 · pith_short_12: 5QE52GCVU7JP · pith_short_16: 5QE52GCVU7JPY2BQ · pith_short_8: 5QE52GCV

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/5QE52GCVU7JPY2BQJTVKVSHX7K \
  | 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: ec09dd1855a7d2fc68304ceaaac8f7faa0b525c0558aedb0f00d771a4e9f8bf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2249001367bc0d059bbfd34fb198f688f5834cc9cb9cd558753c1ea5d69d3ff0",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-09-29T17:10:18Z",
    "title_canon_sha256": "c17707799946b0aaea6f0668c324e3f682274e34dbf1de65f5cae187c81ff342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.14570",
    "kind": "arxiv",
    "version": 1
  }
}