Pith Number

pith:FVFZAOXN

pith:2024:FVFZAOXN4XPY34TD4XD3JJ3RQF

not attested not anchored not stored refs pending

Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms

Amina Abdurrahman, Anshul Adve, Ben Lowe, Jonathan Zung, Vikram Giri

arxiv:2404.19039 v1 · 2024-04-29 · math.GT · math.DG · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FVFZAOXN4XPY34TD4XD3JJ3RQF}

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

1 paper in Pith

Minimal Submanifolds and Waists of Locally Symmetric Spaces

Receipt and verification

First computed	2026-07-05T08:13:36.611844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d4b903aede5df8df263e5c7b4a7718174e97eb9e2978ea5bb08e8a7777092bf

Aliases

arxiv: 2404.19039 · arxiv_version: 2404.19039v1 · doi: 10.48550/arxiv.2404.19039 · pith_short_12: FVFZAOXN4XPY · pith_short_16: FVFZAOXN4XPY34TD · pith_short_8: FVFZAOXN

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/FVFZAOXN4XPY34TD4XD3JJ3RQF \
  | 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: 2d4b903aede5df8df263e5c7b4a7718174e97eb9e2978ea5bb08e8a7777092bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "371bdd1745b3e0cdafaf1b63cca07af666928b25ea9d6df14e01e63cba8d5917",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2024-04-29T18:26:22Z",
    "title_canon_sha256": "9139a3d526340dcff392bdad6c335c4d7962d81e12bab7ea1864e676177c4b82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.19039",
    "kind": "arxiv",
    "version": 1
  }
}