Pith Number

pith:XHE4XOO2

pith:2012:XHE4XOO2OHCPMH6SDUCJVGUCCH

not attested not anchored not stored refs pending

Degree three spin Hurwitz numbers

Junho Lee

arxiv:1205.1491 v2 · 2012-05-07 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHE4XOO2OHCPMH6SDUCJVGUCCH}

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	2026-05-18T03:45:31.631774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9c9cbb9da71c4f61fd21d049a9a8211d4ef73a510760df9e954cb1ca99a58d4

Aliases

arxiv: 1205.1491 · arxiv_version: 1205.1491v2 · doi: 10.48550/arxiv.1205.1491 · pith_short_12: XHE4XOO2OHCP · pith_short_16: XHE4XOO2OHCPMH6S · pith_short_8: XHE4XOO2

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/XHE4XOO2OHCPMH6SDUCJVGUCCH \
  | 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: b9c9cbb9da71c4f61fd21d049a9a8211d4ef73a510760df9e954cb1ca99a58d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "137e8ac5e3e88e509e8bb29c52b1eb3e4540b74b2b42d8951bfa2b144bbc2c50",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-05-07T19:44:35Z",
    "title_canon_sha256": "66ce8636816c04053459825b43b25ee08e9ac9c0b5e3a1d2bf7aa9bca8009dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1491",
    "kind": "arxiv",
    "version": 2
  }
}