Pith Number

pith:JYUBGFSX

pith:2016:JYUBGFSXFXOW2EHDU2NFTURUCI

not attested not anchored not stored refs pending

A Formula about W-operator and Its Application to Hurwitz Number

Hao Sun

arxiv:1611.04700 v2 · 2016-11-15 · 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{JYUBGFSXFXOW2EHDU2NFTURUCI}

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	2026-05-17T23:42:59.253017Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e281316572ddd6d10e3a69a59d2341201d0e5043ef3b3cdb13a44017a3a1e69

Aliases

arxiv: 1611.04700 · arxiv_version: 1611.04700v2 · doi: 10.48550/arxiv.1611.04700 · pith_short_12: JYUBGFSXFXOW · pith_short_16: JYUBGFSXFXOW2EHD · pith_short_8: JYUBGFSX

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/JYUBGFSXFXOW2EHDU2NFTURUCI \
  | 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: 4e281316572ddd6d10e3a69a59d2341201d0e5043ef3b3cdb13a44017a3a1e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f55caac7decc89ee0db044250bd0fba6d4747d8c7bfdc0130c5699de964783d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-11-15T04:10:34Z",
    "title_canon_sha256": "c54064e1f4cd4f8f6faee68a7ddfcebd4c4f91fc71985ecf974280e65cdd6cf0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04700",
    "kind": "arxiv",
    "version": 2
  }
}