Pith Number

pith:7WS7CT4Q

pith:2012:7WS7CT4QKKO243CUFOPARAJXPP

not attested not anchored not stored refs pending

Constraints on hypothetical counterexamples to the Casas-Alvero conjecture

Myriam Ounaies, Robert Laterveer

arxiv:1204.0450 v1 · 2012-04-02 · 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{7WS7CT4QKKO243CUFOPARAJXPP}

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	2026-05-18T03:58:49.298719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda5f14f90529dae6c542b9e0881377be97b385e27a4b9e9ddbcf2c6d46f04cc

Aliases

arxiv: 1204.0450 · arxiv_version: 1204.0450v1 · doi: 10.48550/arxiv.1204.0450 · pith_short_12: 7WS7CT4QKKO2 · pith_short_16: 7WS7CT4QKKO243CU · pith_short_8: 7WS7CT4Q

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/7WS7CT4QKKO243CUFOPARAJXPP \
  | 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: fda5f14f90529dae6c542b9e0881377be97b385e27a4b9e9ddbcf2c6d46f04cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea3df5b86c3549499a97d2827ed3fbf78c2b9e9d55018c4f154c2a9e6d54d663",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-04-02T16:09:49Z",
    "title_canon_sha256": "af0e8f1f91f8e6aa630c9b473bfc0130fe12be470882dee59e8dd8cc58d484d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.0450",
    "kind": "arxiv",
    "version": 1
  }
}