Pith Number

pith:C3PYVIGI

pith:2025:C3PYVIGIBYN5PSWJQDRYLAOQSK

not attested not anchored not stored refs pending

On the spectral aspect density hypothesis and application

Edgar Assing, Subhajit Jana

arxiv:2504.12150 v1 · 2025-04-16 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3PYVIGIBYN5PSWJQDRYLAOQSK}

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	2026-07-05T10:50:03.423702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16df8aa0c80e1bd7cac980e38581d092b28c48a2562635f1b013aeb2196e416f

Aliases

arxiv: 2504.12150 · arxiv_version: 2504.12150v1 · doi: 10.48550/arxiv.2504.12150 · pith_short_12: C3PYVIGIBYN5 · pith_short_16: C3PYVIGIBYN5PSWJ · pith_short_8: C3PYVIGI

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/C3PYVIGIBYN5PSWJQDRYLAOQSK \
  | 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: 16df8aa0c80e1bd7cac980e38581d092b28c48a2562635f1b013aeb2196e416f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "315718951ac107c85cd4bfd475aa02ba7f0884946024822168cd60065e153f63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-16T14:57:35Z",
    "title_canon_sha256": "342ad9707dabbb847218d816e66d710301646f4ed85c7b16111bfaf5b2367217"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.12150",
    "kind": "arxiv",
    "version": 1
  }
}