Pith Number

pith:HPTUTSVH

pith:2025:HPTUTSVHDQCPWQ3DYIECBKFGP3

not attested not anchored not stored refs pending

A Spectral Gap for Spinors on Hyperbolic Surfaces

Anshul Adve, Vikram Giri

arxiv:2506.17092 v1 · 2025-06-20 · math.NT · 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{HPTUTSVHDQCPWQ3DYIECBKFGP3}

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

Normal Functions, Even Theta Characteristics and the Theta Divisor

Receipt and verification

First computed	2026-07-05T11:24:56.214452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3be749caa71c04fb4363c20820a8a67ed39d810f64829eef40eba110cf41478b

Aliases

arxiv: 2506.17092 · arxiv_version: 2506.17092v1 · doi: 10.48550/arxiv.2506.17092 · pith_short_12: HPTUTSVHDQCP · pith_short_16: HPTUTSVHDQCPWQ3D · pith_short_8: HPTUTSVH

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/HPTUTSVHDQCPWQ3DYIECBKFGP3 \
  | 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: 3be749caa71c04fb4363c20820a8a67ed39d810f64829eef40eba110cf41478b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c8b606a7cf811faf088d8e8698b3ab5549f2d3750431ba81f00df4ceeb7e3a2",
    "cross_cats_sorted": [
      "math.DG",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-20T15:58:01Z",
    "title_canon_sha256": "d11a432de73ed0d128f00b2feb2f2aa8a6a8361a969dcd21cb96bbbbf4f4ded6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.17092",
    "kind": "arxiv",
    "version": 1
  }
}