Pith Number

pith:AR5Y5K2S

pith:2015:AR5Y5K2SICE4ATUAH45KIPW3H5

not attested not anchored not stored refs pending

The Casas-Alvero conjecture

Giulia Battiston

arxiv:1511.04932 v2 · 2015-11-16 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AR5Y5K2SICE4ATUAH45KIPW3H5}

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	2026-05-18T01:26:30.979020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

047b8eab524089c04e803f3aa43edb3f4aa404e18fcbcbc33884820851031263

Aliases

arxiv: 1511.04932 · arxiv_version: 1511.04932v2 · doi: 10.48550/arxiv.1511.04932 · pith_short_12: AR5Y5K2SICE4 · pith_short_16: AR5Y5K2SICE4ATUA · pith_short_8: AR5Y5K2S

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/AR5Y5K2SICE4ATUAH45KIPW3H5 \
  | 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: 047b8eab524089c04e803f3aa43edb3f4aa404e18fcbcbc33884820851031263

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e14efd6d7e4709979a408060c9e054bfde4d8257b24698cefa37d0eafd0ed4fa",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-16T12:35:49Z",
    "title_canon_sha256": "4ac73576b905cdd17ce25160f77f15437dad6ae48ce10e74c636c699ce6e84a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04932",
    "kind": "arxiv",
    "version": 2
  }
}