Pith Number

pith:3355PK2P

pith:2016:3355PK2PO722FNGJ3JIDD3VU7R

not attested not anchored not stored refs pending

The generating function of the $M_2$-rank of partitions without repeated odd parts as a mock modular form

Chris Jennings-Shaffer

arxiv:1601.06674 v4 · 2016-01-25 · 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{3355PK2PO722FNGJ3JIDD3VU7R}

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	2026-05-18T00:51:05.646804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

defbd7ab4f77f5a2b4c9da5031eeb4fc721053e006c76c7f23026e118edb6d32

Aliases

arxiv: 1601.06674 · arxiv_version: 1601.06674v4 · doi: 10.48550/arxiv.1601.06674 · pith_short_12: 3355PK2PO722 · pith_short_16: 3355PK2PO722FNGJ · pith_short_8: 3355PK2P

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/3355PK2PO722FNGJ3JIDD3VU7R \
  | 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: defbd7ab4f77f5a2b4c9da5031eeb4fc721053e006c76c7f23026e118edb6d32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "853222b690d82a8d94bb1dcac4360ad1f84bf0e62fcfc6c4a4d749a47ca70e3c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-25T17:00:58Z",
    "title_canon_sha256": "13de8c4121b2e15c06cf1bbe0d59ee86dd3302daa14d6bb5ae0409ae24f43ea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06674",
    "kind": "arxiv",
    "version": 4
  }
}