Pith Number

pith:NERG6OZ5

pith:2015:NERG6OZ53UVI34AOS4XVY5EIVG

not attested not anchored not stored refs pending

Morphisms and order ideals of toric posets

Matthew Macauley

arxiv:1501.02239 v3 · 2015-01-09 · 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{NERG6OZ53UVI34AOS4XVY5EIVG}

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	2026-05-18T02:09:41.331598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69226f3b3ddd2a8df00e972f5c7488a9a7f1620ce18916a066ed1adbebb16071

Aliases

arxiv: 1501.02239 · arxiv_version: 1501.02239v3 · doi: 10.48550/arxiv.1501.02239 · pith_short_12: NERG6OZ53UVI · pith_short_16: NERG6OZ53UVI34AO · pith_short_8: NERG6OZ5

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/NERG6OZ53UVI34AOS4XVY5EIVG \
  | 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: 69226f3b3ddd2a8df00e972f5c7488a9a7f1620ce18916a066ed1adbebb16071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f45e36145ab4d0eb5f25674a71b1ffeb35d0c13bbb48a87876850e750be6190e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-01-09T19:32:16Z",
    "title_canon_sha256": "d6923b6e1b20ce11b627b2337893cba7e7bfd6d23fed325413479c3483d9a2e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02239",
    "kind": "arxiv",
    "version": 3
  }
}