Pith Number

pith:KXZ5KD27

pith:2014:KXZ5KD27IVJCY4TLPTJKHCLHZE

not attested not anchored not stored refs pending

Universal mock theta functions and two-variable Hecke-Rogers identities

Frank Garvan

arxiv:1402.1884 v1 · 2014-02-08 · 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{KXZ5KD27IVJCY4TLPTJKHCLHZE}

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	2026-05-18T02:59:33.241804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55f3d50f5f45522c726b7cd2a38967c90ab5554146951098ed7741b26cc1efd0

Aliases

arxiv: 1402.1884 · arxiv_version: 1402.1884v1 · doi: 10.48550/arxiv.1402.1884 · pith_short_12: KXZ5KD27IVJC · pith_short_16: KXZ5KD27IVJCY4TL · pith_short_8: KXZ5KD27

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/KXZ5KD27IVJCY4TLPTJKHCLHZE \
  | 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: 55f3d50f5f45522c726b7cd2a38967c90ab5554146951098ed7741b26cc1efd0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2708afdffe81b038b4449fdcd5a072acd198f092abc064bf5fdfc869753c24ae",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-08T19:42:46Z",
    "title_canon_sha256": "c75bf48f097bfda43be911acc0997e232df2209c112c91fa11d6a173aa289d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.1884",
    "kind": "arxiv",
    "version": 1
  }
}