Pith Number

pith:EPDDTN57

pith:2015:EPDDTN57C3QQPKOWZVUULQ475M

not attested not anchored not stored refs pending

Minimum Degree of the Difference of Two Polynomials over $\mathbb Q$. Part II: Davenport-Zannier pairs

Alexander K. Zvonkin, Fedor Pakovich

arxiv:1509.07973 v2 · 2015-09-26 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPDDTN57C3QQPKOWZVUULQ475M}

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	2026-05-18T01:29:20.417372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23c639b7bf16e107a9d6cd6945c39feb12724c3851ae7dc2fa2589f6b0a79d12

Aliases

arxiv: 1509.07973 · arxiv_version: 1509.07973v2 · doi: 10.48550/arxiv.1509.07973 · pith_short_12: EPDDTN57C3QQ · pith_short_16: EPDDTN57C3QQPKOW · pith_short_8: EPDDTN57

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/EPDDTN57C3QQPKOWZVUULQ475M \
  | 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: 23c639b7bf16e107a9d6cd6945c39feb12724c3851ae7dc2fa2589f6b0a79d12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb6340aca491e1f5809be1b7d91fc9d0de8f5e6a502ef57d4e302cd7b806af4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-26T12:52:38Z",
    "title_canon_sha256": "9d736b1e49fd2f3c936e3530b009913fc91e48dfb661737736f9646dbc58e0c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.07973",
    "kind": "arxiv",
    "version": 2
  }
}