Pith Number

pith:MHZMXJUU

pith:2013:MHZMXJUUTKVBM4NYKZLNJPW7EY

not attested not anchored not stored refs pending

A counterexample to the containment $I^{(3)}\subset I^2$ over the reals

Adam Czapli\'nski, Agata G{\l}\'owka, Grzegorz Malara, Justyna Szpond, Magdalena Lampa - Baczy\'nska, Patrycja {\L}uszcz - \'Swidecka, Piotr Pokora

arxiv:1310.0904 v2 · 2013-10-03 · math.AG · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHZMXJUUTKVBM4NYKZLNJPW7EY}

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	2026-05-18T01:14:09.613745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61f2cba6949aaa1671b85656d4bedf2634fe78b67420d59d16c6bcbbc6ce8058

Aliases

arxiv: 1310.0904 · arxiv_version: 1310.0904v2 · doi: 10.48550/arxiv.1310.0904 · pith_short_12: MHZMXJUUTKVB · pith_short_16: MHZMXJUUTKVBM4NY · pith_short_8: MHZMXJUU

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/MHZMXJUUTKVBM4NYKZLNJPW7EY \
  | 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: 61f2cba6949aaa1671b85656d4bedf2634fe78b67420d59d16c6bcbbc6ce8058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3127e2d4759bacd7cadf5faf244d1aff12c001e3f2166b2aa73942de7927974f",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-10-03T06:20:49Z",
    "title_canon_sha256": "610378c36c2c866552ab866dfebd19098ec3ba78ee7134d511753e5a650b0236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0904",
    "kind": "arxiv",
    "version": 2
  }
}