Pith Number

pith:36X66VDR

pith:2010:36X66VDRTTSHSZWGLOZHBDG5JI

not attested not anchored not stored refs pending

Minimal Reductions and Cores of Edge Ideals

Louiza Fouli, Susan Morey

arxiv:1012.5746 v2 · 2010-12-28 · 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{36X66VDRTTSHSZWGLOZHBDG5JI}

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	2026-05-18T03:56:46.299196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfafef54719ce47966c65bb2708cdd4a0eba6add8081beab1da9689bb6a57d72

Aliases

arxiv: 1012.5746 · arxiv_version: 1012.5746v2 · doi: 10.48550/arxiv.1012.5746 · pith_short_12: 36X66VDRTTSH · pith_short_16: 36X66VDRTTSHSZWG · pith_short_8: 36X66VDR

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/36X66VDRTTSHSZWGLOZHBDG5JI \
  | 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: dfafef54719ce47966c65bb2708cdd4a0eba6add8081beab1da9689bb6a57d72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1fc992a921345c43d2beb9c4fc4d39a05eab5534ccf64cf48603272b044cc263",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-12-28T12:25:30Z",
    "title_canon_sha256": "8d18cf39291eea2ef00835693a637db4c088f0edbd9d4edc1c25016ed0562cb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5746",
    "kind": "arxiv",
    "version": 2
  }
}