Pith Number

pith:JA555UCJ

pith:2011:JA555UCJX3ILNUIFZ2WFCTDWDW

not attested not anchored not stored refs pending

The leading root of the partial theta function

Alan D. Sokal

arxiv:1106.1003 v2 · 2011-06-06 · math.CO · math-ph · math.CA · math.CV · math.MP · 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{JA555UCJX3ILNUIFZ2WFCTDWDW}

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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

2 papers in Pith

On the location of the complex conjugate zeros of the partial theta function

Some analytic properties of the partial theta function

Receipt and verification

First computed	2026-05-18T04:03:06.978643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

483bded049bed0b6d105ceac514c761d800523fce896d6f747d388b49d6ca1f2

Aliases

arxiv: 1106.1003 · arxiv_version: 1106.1003v2 · doi: 10.48550/arxiv.1106.1003 · pith_short_12: JA555UCJX3IL · pith_short_16: JA555UCJX3ILNUIF · pith_short_8: JA555UCJ

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/JA555UCJX3ILNUIFZ2WFCTDWDW \
  | 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: 483bded049bed0b6d105ceac514c761d800523fce896d6f747d388b49d6ca1f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "947a6892bb4ff501c08c7fe70d139c5c40f3806853d4f5dc12844aef1a7a7fd8",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.CV",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-06T09:49:03Z",
    "title_canon_sha256": "71fc0850c9d1ad908002301de69ef2d2677618c8f7c113d40a2c23129aa63dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1003",
    "kind": "arxiv",
    "version": 2
  }
}