Pith Number

pith:GLZOCBPG

pith:2013:GLZOCBPGWLMIPA2NZP5BI5NMFO

not attested not anchored not stored refs pending

Weak harmonic Maass forms of weight 5/2 and a mock modular form for the partition function

Nickolas Andersen, Scott Ahlgren

arxiv:1312.1943 v3 · 2013-12-06 · 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{GLZOCBPGWLMIPA2NZP5BI5NMFO}

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	2026-05-18T02:18:51.969228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32f2e105e6b2d887834dcbfa1475ac2bb162203bfb526d702162bced357f6bd2

Aliases

arxiv: 1312.1943 · arxiv_version: 1312.1943v3 · doi: 10.48550/arxiv.1312.1943 · pith_short_12: GLZOCBPGWLMI · pith_short_16: GLZOCBPGWLMIPA2N · pith_short_8: GLZOCBPG

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/GLZOCBPGWLMIPA2NZP5BI5NMFO \
  | 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: 32f2e105e6b2d887834dcbfa1475ac2bb162203bfb526d702162bced357f6bd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3dc2ed16c32022dcc1ef5ce23fb2d1c817e1ea577d6f480c2b5c1eb698d22db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-06T17:45:33Z",
    "title_canon_sha256": "16078d5d53f2caf03a4bf6438ba11b3e7848b6287a341063274e62e2126d0073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1943",
    "kind": "arxiv",
    "version": 3
  }
}