Pith Number

pith:67ZXFS2D

pith:2026:67ZXFS2DP2XTQ6ZROSZMFOPDVY

not attested not anchored not stored refs pending

Where not to find the spectrum of the partial theta function

Vladimir Petrov Kostov, Yousra Gati

arxiv:2605.29903 v1 · 2026-05-28 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67ZXFS2DP2XTQ6ZROSZMFOPDVY}

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	2026-05-29T02:05:58.726718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7f372cb437eaf387b3174b2c2b9e3ae0e652ce9572ac7eb3eb347743d07fcba

Aliases

arxiv: 2605.29903 · arxiv_version: 2605.29903v1 · doi: 10.48550/arxiv.2605.29903 · pith_short_12: 67ZXFS2DP2XT · pith_short_16: 67ZXFS2DP2XTQ6ZR · pith_short_8: 67ZXFS2D

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/67ZXFS2DP2XTQ6ZROSZMFOPDVY \
  | 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: f7f372cb437eaf387b3174b2c2b9e3ae0e652ce9572ac7eb3eb347743d07fcba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e013aa78038663a4bf85229a3db60d6519425e5fb8b66ff17f83eeb4a60e29d1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2026-05-28T13:23:39Z",
    "title_canon_sha256": "efd97a76d4cbffb1c9a7903e4b8cddbb8e58256f3128e9eeb440302e28631665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.29903",
    "kind": "arxiv",
    "version": 1
  }
}