Pith Number

pith:EMYQZJG2

pith:2008:EMYQZJG2C2JISACHUDJOQITXAP

not attested not anchored not stored refs pending

On lattices and their ideal lattices, and posets and their ideal posets

George M. Bergman

arxiv:0801.0751 v2 · 2008-01-04 · math.RA · 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{EMYQZJG2C2JISACHUDJOQITXAP}

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	2026-05-18T03:26:10.776389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23310ca4da1692890047a0d2e8227703cd502208dd5ea8994416633b27bfe504

Aliases

arxiv: 0801.0751 · arxiv_version: 0801.0751v2 · doi: 10.48550/arxiv.0801.0751 · pith_short_12: EMYQZJG2C2JI · pith_short_16: EMYQZJG2C2JISACH · pith_short_8: EMYQZJG2

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/EMYQZJG2C2JISACHUDJOQITXAP \
  | 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: 23310ca4da1692890047a0d2e8227703cd502208dd5ea8994416633b27bfe504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cc449dcef9e375d90d0cb249dec276d5e4fefe5527f93bc94e7a8169b96926c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2008-01-04T22:08:52Z",
    "title_canon_sha256": "56724d8c4081594785bb1aea1edeb25d7930ec45511c773f9625a1d140679773"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.0751",
    "kind": "arxiv",
    "version": 2
  }
}