Pith Number

pith:CMSPA7Q5

pith:2017:CMSPA7Q5XZH4PIM75HAHGLZDJN

not attested not anchored not stored refs pending

A domain containing all zeros of the partial theta function

Vladimir Petrov Kostov

arxiv:1710.01575 v1 · 2017-10-04 · 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{CMSPA7Q5XZH4PIM75HAHGLZDJN}

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	2026-05-17T23:46:42.032067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1324f07e1dbe4fc7a19fe9c0732f234b7774b4b611770ad73ce5db36581773ed

Aliases

arxiv: 1710.01575 · arxiv_version: 1710.01575v1 · doi: 10.48550/arxiv.1710.01575 · pith_short_12: CMSPA7Q5XZH4 · pith_short_16: CMSPA7Q5XZH4PIM7 · pith_short_8: CMSPA7Q5

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/CMSPA7Q5XZH4PIM75HAHGLZDJN \
  | 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: 1324f07e1dbe4fc7a19fe9c0732f234b7774b4b611770ad73ce5db36581773ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "902b6318e0a0c273142df0e89112edb5c0d40d3f2aaa4eee22b5080941de7560",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-10-04T12:39:17Z",
    "title_canon_sha256": "3ebd36e4204de7960464c31a4a2a51447ed890ef3a8899f9a46d98f73e1c1007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01575",
    "kind": "arxiv",
    "version": 1
  }
}