Pith Number

pith:SHBYR7IL

pith:2019:SHBYR7ILNBAFOIDEIZNAZRWXOS

not attested not anchored not stored refs pending

Linked partition ideals, directed graphs and $q$-multi-summations

Shane Chern

arxiv:1907.06363 v1 · 2019-07-15 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHBYR7ILNBAFOIDEIZNAZRWXOS}

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	2026-05-17T23:40:37.816512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91c388fd0b6840572064465a0cc6d774bd53f8bc00ea87df3053245579980769

Aliases

arxiv: 1907.06363 · arxiv_version: 1907.06363v1 · doi: 10.48550/arxiv.1907.06363 · pith_short_12: SHBYR7ILNBAF · pith_short_16: SHBYR7ILNBAFOIDE · pith_short_8: SHBYR7IL

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/SHBYR7ILNBAFOIDEIZNAZRWXOS \
  | 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: 91c388fd0b6840572064465a0cc6d774bd53f8bc00ea87df3053245579980769

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "febc4dfb3c55cda12129e9d1200af0e7803cf5d340ea1e4646c72333d94dfaea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-07-15T08:27:14Z",
    "title_canon_sha256": "f4bc4075b6c2ecf4ef0ca4f99a124dea71e917db2b1a275fdd348618b171b017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06363",
    "kind": "arxiv",
    "version": 1
  }
}