Pith Number

pith:EICV2JGF

pith:2010:EICV2JGF5MHDTA66MLTU52DAP5

not attested not anchored not stored refs pending

Alternative polarizations of Borel fixed ideals

Kohji Yanagawa

arxiv:1011.4662 v4 · 2010-11-21 · 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{EICV2JGF5MHDTA66MLTU52DAP5}

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	2026-05-18T04:07:52.683257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22055d24c5eb0e3983de62e74ee8607f617ad30fe74d1cac7f9d3a29ce7b8c0d

Aliases

arxiv: 1011.4662 · arxiv_version: 1011.4662v4 · doi: 10.48550/arxiv.1011.4662 · pith_short_12: EICV2JGF5MHD · pith_short_16: EICV2JGF5MHDTA66 · pith_short_8: EICV2JGF

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/EICV2JGF5MHDTA66MLTU52DAP5 \
  | 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: 22055d24c5eb0e3983de62e74ee8607f617ad30fe74d1cac7f9d3a29ce7b8c0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb88893997515798adb6182174db294c0e9f2ff1da6ef09505aac53dfc571134",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-11-21T13:19:56Z",
    "title_canon_sha256": "dbbad2536c3d616ae69b6be38f27780ff92213614e37d49843c382598babd686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4662",
    "kind": "arxiv",
    "version": 4
  }
}