Pith Number

pith:RUJZCB7H

pith:2012:RUJZCB7HG46UXVJECADFOIHQ3Q

not attested not anchored not stored refs pending

Rank-Crank type PDEs and generalized Lambert series identities

Atul Dixit, Frank G. Garvan, Song Heng Chan

arxiv:1201.1663 v1 · 2012-01-08 · 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{RUJZCB7HG46UXVJECADFOIHQ3Q}

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	2026-05-18T04:05:02.871082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d139107e7373d4bd52410065720f0dc36f0ed4fd87cc847ad64c7d3d03f9d2f

Aliases

arxiv: 1201.1663 · arxiv_version: 1201.1663v1 · doi: 10.48550/arxiv.1201.1663 · pith_short_12: RUJZCB7HG46U · pith_short_16: RUJZCB7HG46UXVJE · pith_short_8: RUJZCB7H

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/RUJZCB7HG46UXVJECADFOIHQ3Q \
  | 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: 8d139107e7373d4bd52410065720f0dc36f0ed4fd87cc847ad64c7d3d03f9d2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b87e3bb31198f7d7de9581eccf5529bab0c410399bf507762c0b38c354c37fd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-08T22:33:12Z",
    "title_canon_sha256": "dd6e3b181a8ee18f9f7d7dcda8d5e338ef4ad70da7e1d31ca3aa2e510eadc51c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1663",
    "kind": "arxiv",
    "version": 1
  }
}