Pith Number

pith:CRACKECJ

pith:2016:CRACKECJHEGSSDYHD22UOPNW2M

not attested not anchored not stored refs pending

Combinatorial interpretations of Ramanujan's tau function

Frank Garvan, Michael J. Schlosser

arxiv:1606.08037 v1 · 2016-06-26 · math.CO · 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{CRACKECJHEGSSDYHD22UOPNW2M}

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	2026-05-17T23:53:06.915284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1440251049390d290f071eb5473db6d31f98653adaf2111c24e5805f9053b432

Aliases

arxiv: 1606.08037 · arxiv_version: 1606.08037v1 · doi: 10.48550/arxiv.1606.08037 · pith_short_12: CRACKECJHEGS · pith_short_16: CRACKECJHEGSSDYH · pith_short_8: CRACKECJ

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/CRACKECJHEGSSDYHD22UOPNW2M \
  | 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: 1440251049390d290f071eb5473db6d31f98653adaf2111c24e5805f9053b432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea97ac9dcc682ef050beda017fe23e5c02e714eff23206256e296c958c567326",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-26T13:46:04Z",
    "title_canon_sha256": "dd9cce5c6c359ccf150a22482585e3e554e96732f49b4eadde972fa523d19ce2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08037",
    "kind": "arxiv",
    "version": 1
  }
}