Pith Number

pith:46H6QMRQ

pith:2017:46H6QMRQLC6BPHOXKNUPIO2Q7L

not attested not anchored not stored refs pending

Minimal free resolutions of lattice ideals of digraphs

Francesc Planas-Vilanova, Liam O'Carroll

arxiv:1701.07990 v2 · 2017-01-27 · 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{46H6QMRQLC6BPHOXKNUPIO2Q7L}

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	2026-05-18T00:22:48.333501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e78fe8323058bc179dd75368f43b50faf98643ffd2074cec201384caf4c9e15f

Aliases

arxiv: 1701.07990 · arxiv_version: 1701.07990v2 · doi: 10.48550/arxiv.1701.07990 · pith_short_12: 46H6QMRQLC6B · pith_short_16: 46H6QMRQLC6BPHOX · pith_short_8: 46H6QMRQ

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/46H6QMRQLC6BPHOXKNUPIO2Q7L \
  | 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: e78fe8323058bc179dd75368f43b50faf98643ffd2074cec201384caf4c9e15f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c963492d287977158f86754c9f3cd236e7dab057a4c817259aa0f0abd46ff13",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-01-27T10:01:50Z",
    "title_canon_sha256": "cc031bb86d1c37285fb47d7b73fee12f419c6224bb28b2204986820c50e4db80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07990",
    "kind": "arxiv",
    "version": 2
  }
}