Pith Number

pith:DZ3E6YLB

pith:2011:DZ3E6YLB4XJQYGW6NVNJ476HAP

not attested not anchored not stored refs pending

Partial theta functions and mock modular forms as q-hypergeometric series

Amanda Folsom, Kathrin Bringmann, Robert C. Rhoades

arxiv:1109.6560 v1 · 2011-09-29 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZ3E6YLB4XJQYGW6NVNJ476HAP}

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.

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	2026-05-18T04:12:01.332995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e764f6161e5d30c1ade6d5a9e7fc703fd7595f4ec0a0f5a6527603813a9dc75

Aliases

arxiv: 1109.6560 · arxiv_version: 1109.6560v1 · doi: 10.48550/arxiv.1109.6560 · pith_short_12: DZ3E6YLB4XJQ · pith_short_16: DZ3E6YLB4XJQYGW6 · pith_short_8: DZ3E6YLB

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/DZ3E6YLB4XJQYGW6NVNJ476HAP \
  | 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: 1e764f6161e5d30c1ade6d5a9e7fc703fd7595f4ec0a0f5a6527603813a9dc75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ad486cfcfcec33b7da136ce500ca8f4e1c6311f6dd8e7a16c91bf9141fa074b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-29T15:29:11Z",
    "title_canon_sha256": "8462d130cd67576d787ffc40dee20463ca1a694de4c76f273e933c698966bf38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6560",
    "kind": "arxiv",
    "version": 1
  }
}