Pith Number

pith:MJCR4YKQ

pith:2011:MJCR4YKQ2R5EC3FNR7XP2QTOGY

not attested not anchored not stored refs pending

Patch ideals and Peterson varieties

Alexander Yong, Erik Insko

arxiv:1101.3255 v2 · 2011-01-17 · 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{MJCR4YKQ2R5EC3FNR7XP2QTOGY}

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	2026-05-18T03:39:43.849878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62451e6150d47a416cad8feefd426e3635bcb082e0b27d9f8e9b35e93aab96b3

Aliases

arxiv: 1101.3255 · arxiv_version: 1101.3255v2 · doi: 10.48550/arxiv.1101.3255 · pith_short_12: MJCR4YKQ2R5E · pith_short_16: MJCR4YKQ2R5EC3FN · pith_short_8: MJCR4YKQ

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/MJCR4YKQ2R5EC3FNR7XP2QTOGY \
  | 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: 62451e6150d47a416cad8feefd426e3635bcb082e0b27d9f8e9b35e93aab96b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d9027456bf917325faedd0a9bb78f2b3ff88d298c24a490ef36ceb92dc5e830",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-17T16:22:13Z",
    "title_canon_sha256": "487d777206483804b9ea6e946e23983cbf8a56f225203ca5c5c7b29ebd165fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3255",
    "kind": "arxiv",
    "version": 2
  }
}