Pith Number

pith:VXODBUIG

pith:2020:VXODBUIGI5B63DJ2CHJ245ASDZ

not attested not anchored not stored refs pending

Bounds on the largest prime factor of a negative discriminant with one class per genus

John Armitage

arxiv:2011.09401 v1 · 2020-11-18 · 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{VXODBUIGI5B63DJ2CHJ245ASDZ}

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	2026-07-05T01:52:43.637111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

addc30d1064743ed8d3a11d3ae74121e7a2a3a88a804876ce3a185e4c078650c

Aliases

arxiv: 2011.09401 · arxiv_version: 2011.09401v1 · doi: 10.48550/arxiv.2011.09401 · pith_short_12: VXODBUIGI5B6 · pith_short_16: VXODBUIGI5B63DJ2 · pith_short_8: VXODBUIG

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/VXODBUIGI5B63DJ2CHJ245ASDZ \
  | 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: addc30d1064743ed8d3a11d3ae74121e7a2a3a88a804876ce3a185e4c078650c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c21a9be23c32fac8d78b621dfffbb987022bf3f4e7cc22d5ab23308f6b18ea5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-11-18T16:58:38Z",
    "title_canon_sha256": "f555893ee3700f06871c1f5309c485f01d4249852f04cb0b3dba846438d14b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.09401",
    "kind": "arxiv",
    "version": 1
  }
}