Pith Number

pith:BTDKM3MI

pith:2016:BTDKM3MI7HJKLXDIKWFOOBE4VV

not attested not anchored not stored refs pending

Hurwitz numbers for real polynomials

Dimitri Zvonkine, Ilia Itenberg

arxiv:1609.05219 v2 · 2016-09-16 · math.AG · 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{BTDKM3MI7HJKLXDIKWFOOBE4VV}

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	2026-05-17T23:58:42.627674Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc6a66d88f9d2a5dc68558ae7049cad4645e750c6d0245a107fcb758308ff7e

Aliases

arxiv: 1609.05219 · arxiv_version: 1609.05219v2 · doi: 10.48550/arxiv.1609.05219 · pith_short_12: BTDKM3MI7HJK · pith_short_16: BTDKM3MI7HJKLXDI · pith_short_8: BTDKM3MI

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/BTDKM3MI7HJKLXDIKWFOOBE4VV \
  | 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: 0cc6a66d88f9d2a5dc68558ae7049cad4645e750c6d0245a107fcb758308ff7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ff43e2d8360731bbee5106df6acd7f02bb322baafa3d012a99dbd009f81f2a2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-16T20:07:28Z",
    "title_canon_sha256": "8d43d71ae1a0de4f0cf47ebdb949a5b00d24827bdd04ace235758d93b0cdf55b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05219",
    "kind": "arxiv",
    "version": 2
  }
}