Pith Number

pith:QIFNTL7V

pith:2025:QIFNTL7VJCZ5O2HGBCDW7ZZQLY

not attested not anchored not stored refs pending

p-adic root separation and the discriminant of integer polynomials

Bethany Dixon, Victor Beresnevich

arxiv:2504.03851 v2 · 2025-04-04 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QIFNTL7VJCZ5O2HGBCDW7ZZQLY}

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	2026-06-23T01:12:45.432533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

820ad9aff548b3d768e608876fe7305e084b2333ec28deefd5f2c4d9798972a4

Aliases

arxiv: 2504.03851 · arxiv_version: 2504.03851v2 · doi: 10.48550/arxiv.2504.03851 · pith_short_12: QIFNTL7VJCZ5 · pith_short_16: QIFNTL7VJCZ5O2HG · pith_short_8: QIFNTL7V

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/QIFNTL7VJCZ5O2HGBCDW7ZZQLY \
  | 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: 820ad9aff548b3d768e608876fe7305e084b2333ec28deefd5f2c4d9798972a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fdad83979a468db4fae813878b29f6f343a3056cc57573d999b6df7e8ded45",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-04T18:27:15Z",
    "title_canon_sha256": "daa4fe09c16e71083963216bc82378b1d65531450d2b8487a6bd1bcbc001d992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.03851",
    "kind": "arxiv",
    "version": 2
  }
}