Pith Number

pith:YNU53QAI

pith:2012:YNU53QAI3AMHY66O4LYNFIWFNK

not attested not anchored not stored refs pending

Constraints on counterexamples to the Casas-Alvero conjecture, and a verification in degree 12

Myriam Ouna\"ies, Robert Laterveer, Wouter Castryck

arxiv:1208.5404 v1 · 2012-08-27 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNU53QAI3AMHY66O4LYNFIWFNK}

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	2026-05-18T03:46:59.519874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c369ddc008d8187c7bcee2f0d2a2c56ab6d02cdb1006eee43ed0a9a4f6e6bd3a

Aliases

arxiv: 1208.5404 · arxiv_version: 1208.5404v1 · doi: 10.48550/arxiv.1208.5404 · pith_short_12: YNU53QAI3AMH · pith_short_16: YNU53QAI3AMHY66O · pith_short_8: YNU53QAI

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/YNU53QAI3AMHY66O4LYNFIWFNK \
  | 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: c369ddc008d8187c7bcee2f0d2a2c56ab6d02cdb1006eee43ed0a9a4f6e6bd3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "307c468f2e54f3701b29ca7005a75099822c0820cdca02eaaca81665557b6eff",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-27T14:08:12Z",
    "title_canon_sha256": "1c65c1c096d13a35d228aabbdd94383be090d8b29dbbc430dda5404dcfeff45e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.5404",
    "kind": "arxiv",
    "version": 1
  }
}