Pith Number

pith:BFDWSBGF

pith:2014:BFDWSBGFWAPU6HI6P24RSRMNFY

not attested not anchored not stored refs pending

Double series representations for Schur's partition function and related identities

George Andrews, Karl Mahlburg, Kathrin Bringmann

arxiv:1405.3345 v1 · 2014-05-14 · 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{BFDWSBGFWAPU6HI6P24RSRMNFY}

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	2026-05-18T02:51:56.320294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

09476904c5b01f4f1d1e7eb919458d2e0e4e37102ae86c1f00676a8f64c9b5ff

Aliases

arxiv: 1405.3345 · arxiv_version: 1405.3345v1 · doi: 10.48550/arxiv.1405.3345 · pith_short_12: BFDWSBGFWAPU · pith_short_16: BFDWSBGFWAPU6HI6 · pith_short_8: BFDWSBGF

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/BFDWSBGFWAPU6HI6P24RSRMNFY \
  | 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: 09476904c5b01f4f1d1e7eb919458d2e0e4e37102ae86c1f00676a8f64c9b5ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8bdaa898041b9363bd20e90dc5c2333d820e55588e13b4241b526d82b3e4aa6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-14T02:06:09Z",
    "title_canon_sha256": "61a0588c97557f9bfe2ff3d14aece9665c8d1bf181a7dd2db25cc174b38e6d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.3345",
    "kind": "arxiv",
    "version": 1
  }
}