Pith Number

pith:PV6AL4WB

pith:2013:PV6AL4WBWHCZ7USCWY4V3YZGJT

not attested not anchored not stored refs pending

Minimum Degree of the Difference of Two Polynomials over Q, and Weighted Plane Trees

A. Zvonkin, F. Pakovich

arxiv:1306.4141 v1 · 2013-06-18 · 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{PV6AL4WBWHCZ7USCWY4V3YZGJT}

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	2026-05-18T03:20:37.010827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d7c05f2c1b1c59fd242b6395de3264cf1177bd2ed7d1a0a7d19fd45ebbe3c55

Aliases

arxiv: 1306.4141 · arxiv_version: 1306.4141v1 · doi: 10.48550/arxiv.1306.4141 · pith_short_12: PV6AL4WBWHCZ · pith_short_16: PV6AL4WBWHCZ7USC · pith_short_8: PV6AL4WB

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/PV6AL4WBWHCZ7USCWY4V3YZGJT \
  | 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: 7d7c05f2c1b1c59fd242b6395de3264cf1177bd2ed7d1a0a7d19fd45ebbe3c55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e41e77b4d0678f5bbaab8ead86c7d4769b5175f83f28425514aaecf3807ea22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-18T11:15:17Z",
    "title_canon_sha256": "39bd568e5ff0b0bf63da84242cb115eddc0c50848ac709bfa17b00e29839f476"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4141",
    "kind": "arxiv",
    "version": 1
  }
}