Pith Number

pith:HFC5DPRT

pith:2018:HFC5DPRTUKKMBWR2OQB52RJSJ4

not attested not anchored not stored refs pending

Generalized Lambert Series Identities and Applications in Rank Differences

Bin Wei, Helen W.J. Zhang

arxiv:1801.04643 v2 · 2018-01-15 · 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{HFC5DPRTUKKMBWR2OQB52RJSJ4}

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	2026-05-18T00:25:50.628165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3945d1be33a294c0da3a7403dd45324f3a08c8744c822622b3c2bdc0c877f552

Aliases

arxiv: 1801.04643 · arxiv_version: 1801.04643v2 · doi: 10.48550/arxiv.1801.04643 · pith_short_12: HFC5DPRTUKKM · pith_short_16: HFC5DPRTUKKMBWR2 · pith_short_8: HFC5DPRT

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/HFC5DPRTUKKMBWR2OQB52RJSJ4 \
  | 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: 3945d1be33a294c0da3a7403dd45324f3a08c8744c822622b3c2bdc0c877f552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08f82cb9b3624ce066b6adcc9dcb9dab2379859ee303aed1711acd99116aef70",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-01-15T02:32:36Z",
    "title_canon_sha256": "995cbb24d144b96c8974f2812c44f188db3931eb12f3a2d510552d55514d73c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.04643",
    "kind": "arxiv",
    "version": 2
  }
}