Pith Number

pith:WMWH5PDI

pith:2015:WMWH5PDIUTXAWUQLVCP5IZWSIC

not attested not anchored not stored refs pending

How many Zolotarev fractions are there?

Andrei Bogatyrev

arxiv:1511.05346 v1 · 2015-11-17 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMWH5PDIUTXAWUQLVCP5IZWSIC}

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	2026-05-18T00:29:52.284352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b32c7ebc68a4ee0b520ba89fd466d240a36ae24ada96e9b508a0ff96dcc2a8a8

Aliases

arxiv: 1511.05346 · arxiv_version: 1511.05346v1 · doi: 10.48550/arxiv.1511.05346 · pith_short_12: WMWH5PDIUTXA · pith_short_16: WMWH5PDIUTXAWUQL · pith_short_8: WMWH5PDI

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/WMWH5PDIUTXAWUQLVCP5IZWSIC \
  | 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: b32c7ebc68a4ee0b520ba89fd466d240a36ae24ada96e9b508a0ff96dcc2a8a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9baa0428ac63880b883bdecdbf337c132fc745f0d33beb49c424fd0bdf9e9800",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-11-17T10:57:43Z",
    "title_canon_sha256": "c78bee55bf3e064aea4b9f50cd4929a7660872f7ea09d7a6c60ed476d9577c23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.05346",
    "kind": "arxiv",
    "version": 1
  }
}