Pith Number

pith:SXYNNU6O

pith:2013:SXYNNU6OJDB57TIW6UBHELICSA

not attested not anchored not stored refs pending

Mock theta functions and weakly holomorphic modular forms modulo 2 and 3

Byungchan Kim, Scott Ahlgren

arxiv:1306.4386 v1 · 2013-06-18 · 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{SXYNNU6OJDB57TIW6UBHELICSA}

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	2026-05-17T23:53:15.318511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95f0d6d3ce48c3dfcd16f502722d0290204712255814e70e056ed57188a14424

Aliases

arxiv: 1306.4386 · arxiv_version: 1306.4386v1 · doi: 10.48550/arxiv.1306.4386 · pith_short_12: SXYNNU6OJDB5 · pith_short_16: SXYNNU6OJDB57TIW · pith_short_8: SXYNNU6O

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/SXYNNU6OJDB57TIW6UBHELICSA \
  | 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: 95f0d6d3ce48c3dfcd16f502722d0290204712255814e70e056ed57188a14424

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e2c5b39b8c6f21a7abdc0075c161ded1ee2828e465a35fd13319b1cdee97e0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-18T23:10:13Z",
    "title_canon_sha256": "18b713f93fefaa80e2ecb380f74b9d8679bb2a4ca2e2639ef6f8bc6bfce0e60d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4386",
    "kind": "arxiv",
    "version": 1
  }
}