Pith Number

pith:DFXP7PHO

pith:2016:DFXP7PHOS4N7YFZFLZYY6XKUN5

not attested not anchored not stored refs pending

Thomae formula for $2$ Abelian covers of $\mathbb{CP}^1$

Yaacov Kopeliovich

arxiv:1605.01139 v3 · 2016-05-04 · 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{DFXP7PHOS4N7YFZFLZYY6XKUN5}

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	2026-05-18T01:15:13.378588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

196effbcee971bfc17255e718f5d546f41098d1e427563baacce1ee7fe1ba371

Aliases

arxiv: 1605.01139 · arxiv_version: 1605.01139v3 · doi: 10.48550/arxiv.1605.01139 · pith_short_12: DFXP7PHOS4N7 · pith_short_16: DFXP7PHOS4N7YFZF · pith_short_8: DFXP7PHO

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/DFXP7PHOS4N7YFZFLZYY6XKUN5 \
  | 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: 196effbcee971bfc17255e718f5d546f41098d1e427563baacce1ee7fe1ba371

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90e1e839df7cabcecea68b2e00ed7bcd6da709d6e9a3b7ccaae68e876a32b09d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-05-04T04:27:55Z",
    "title_canon_sha256": "fad325360cf3c7a8c814695b702febca2edda4db289fcc1935cc09a27f96352b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.01139",
    "kind": "arxiv",
    "version": 3
  }
}