Pith Number

pith:M6K2DH2F

pith:2014:M6K2DH2F57VOEKOFAAPHQYHKQD

not attested not anchored not stored refs pending

Ghost series and a motivated proof of the Andrews-Bressoud identities

Andrew V. Sills, James Lepowsky, Matthew C. Russell, Shashank Kanade

arxiv:1411.2048 v2 · 2014-11-07 · math.CO · math.NT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M6K2DH2F57VOEKOFAAPHQYHKQD}

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	2026-05-17T23:59:04.050816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6795a19f45efeae229c5001e7860ea80c78b04f10d0fcda3f63e8c5f545445eb

Aliases

arxiv: 1411.2048 · arxiv_version: 1411.2048v2 · doi: 10.48550/arxiv.1411.2048 · pith_short_12: M6K2DH2F57VO · pith_short_16: M6K2DH2F57VOEKOF · pith_short_8: M6K2DH2F

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/M6K2DH2F57VOEKOFAAPHQYHKQD \
  | 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: 6795a19f45efeae229c5001e7860ea80c78b04f10d0fcda3f63e8c5f545445eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3465eb690ef99332f3eb075fc5ccfa22cd30a2eeda116506bca5f02b4236c414",
    "cross_cats_sorted": [
      "math.NT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-07T22:09:31Z",
    "title_canon_sha256": "7b3c885f1d6dea8abb82df41f631b77d6fb661c53373c89c0e71e1503066b9f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2048",
    "kind": "arxiv",
    "version": 2
  }
}