Pith Number

pith:L66UNNZE

pith:2013:L66UNNZEI7QF4R6JBC3NW2EXIV

not attested not anchored not stored refs pending

Effective Congruences for Mock Theta Functions

Heidi Goodson, Holley Friedlander, Jeremy Fuller, Nickolas Andersen

arxiv:1304.3136 v1 · 2013-04-10 · 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{L66UNNZEI7QF4R6JBC3NW2EXIV}

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	2026-05-18T02:56:59.974391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fbd46b72447e05e47c908b6db68974546616de1339de6ed8f0841bb96a8bbe1

Aliases

arxiv: 1304.3136 · arxiv_version: 1304.3136v1 · doi: 10.48550/arxiv.1304.3136 · pith_short_12: L66UNNZEI7QF · pith_short_16: L66UNNZEI7QF4R6J · pith_short_8: L66UNNZE

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/L66UNNZEI7QF4R6JBC3NW2EXIV \
  | 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: 5fbd46b72447e05e47c908b6db68974546616de1339de6ed8f0841bb96a8bbe1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dd41574290f3212c5de168492fea5f34a5af569f769078e85c9ee1019cb6608",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-10T20:21:40Z",
    "title_canon_sha256": "3d71e532a5bfa673335d0d1e775e9936da505408a82d81ebb234a19aab0f7413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3136",
    "kind": "arxiv",
    "version": 1
  }
}