Pith Number

pith:CBSESLSY

pith:2016:CBSESLSYKMLOEPQEXVSKLRJ3WK

not attested not anchored not stored refs pending

W-Operator and Differential Equation for 3-Hurwitz Number

Hao Sun

arxiv:1612.02884 v1 · 2016-12-09 · 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{CBSESLSYKMLOEPQEXVSKLRJ3WK}

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	2026-05-18T00:55:28.064153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1064492e585316e23e04bd64a5c53bb2bb816315dee3eeed120eb762d2b1554b

Aliases

arxiv: 1612.02884 · arxiv_version: 1612.02884v1 · doi: 10.48550/arxiv.1612.02884 · pith_short_12: CBSESLSYKMLO · pith_short_16: CBSESLSYKMLOEPQE · pith_short_8: CBSESLSY

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/CBSESLSYKMLOEPQEXVSKLRJ3WK \
  | 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: 1064492e585316e23e04bd64a5c53bb2bb816315dee3eeed120eb762d2b1554b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5d3dc6c61bc28e943b66ecce78983d1732eaeebeb5e94106b8d697a0e6b0d7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-09T01:27:55Z",
    "title_canon_sha256": "518f53e45a4b430bb7178b86fa3e085daca5ce552e0d737b6508d510e6378bce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02884",
    "kind": "arxiv",
    "version": 1
  }
}