Pith Number

pith:KEPCSZSM

pith:2012:KEPCSZSMXOJB3KPO2AGNVZWN5U

not attested not anchored not stored refs pending

The combinatorics of the leading root of the partial theta function

Thomas Prellberg

arxiv:1210.0095 v1 · 2012-09-29 · math.CO · math-ph · math.MP · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEPCSZSMXOJB3KPO2AGNVZWN5U}

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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	2026-05-18T03:44:23.346489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

511e29664cbb921da9eed00cdae6cded1b115cfdf6ce1b62313295ab096de177

Aliases

arxiv: 1210.0095 · arxiv_version: 1210.0095v1 · doi: 10.48550/arxiv.1210.0095 · pith_short_12: KEPCSZSMXOJB · pith_short_16: KEPCSZSMXOJB3KPO · pith_short_8: KEPCSZSM

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/KEPCSZSMXOJB3KPO2AGNVZWN5U \
  | 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: 511e29664cbb921da9eed00cdae6cded1b115cfdf6ce1b62313295ab096de177

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d043e3d2683e35a1de86e709dc7426719f78799047189bd60f056b2a0210c3e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-09-29T11:18:48Z",
    "title_canon_sha256": "6b5a53f088d0896a7f821d4aba0d40b07f85c2e6bc6ef68ad55c2ed568bfb95d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.0095",
    "kind": "arxiv",
    "version": 1
  }
}