Pith Number

pith:4AX2DORV

pith:2024:4AX2DORVBD762O3HO42OYRQKUH

not attested not anchored not stored refs pending

A description of and an upper bound on the set of bad primes in the study of the Casas-Alvero Conjecture

Daniel Schaub (LAREMA), LaSol), Mark Spivakovsky (IMT

arxiv:2411.13967 v1 · 2024-11-21 · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AX2DORVBD762O3HO42OYRQKUH}

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	2026-07-05T09:38:39.581229Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02fa1ba3508ffed3b677734ec460aa1f994ec3d8f4bc073d1c3812e563026b8

Aliases

arxiv: 2411.13967 · arxiv_version: 2411.13967v1 · doi: 10.48550/arxiv.2411.13967 · pith_short_12: 4AX2DORVBD76 · pith_short_16: 4AX2DORVBD762O3H · pith_short_8: 4AX2DORV

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/4AX2DORVBD762O3HO42OYRQKUH \
  | 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: e02fa1ba3508ffed3b677734ec460aa1f994ec3d8f4bc073d1c3812e563026b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c16be992561a65dae07ecaa6c311a46dd21a0f3fdc8fbd939a4300a539f2ddd4",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-11-21T09:31:00Z",
    "title_canon_sha256": "52d61dc607b4614056cc4aa18967cfe704301cc123babece918035f1cdad3a19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13967",
    "kind": "arxiv",
    "version": 1
  }
}