Pith Number

pith:KYQQSSGV

pith:2012:KYQQSSGVW6JCAFRVMFJBJZWHEZ

not attested not anchored not stored refs pending

Laplacian ideals, arrangements, and resolutions

Anton Dochtermann, Raman Sanyal

arxiv:1212.6244 v3 · 2012-12-26 · 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{KYQQSSGVW6JCAFRVMFJBJZWHEZ}

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	2026-05-18T01:08:27.663566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56210948d5b792201635615214e6c72664ae8a0e4a9f792557357cf54f9a5573

Aliases

arxiv: 1212.6244 · arxiv_version: 1212.6244v3 · doi: 10.48550/arxiv.1212.6244 · pith_short_12: KYQQSSGVW6JC · pith_short_16: KYQQSSGVW6JCAFRV · pith_short_8: KYQQSSGV

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/KYQQSSGVW6JCAFRVMFJBJZWHEZ \
  | 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: 56210948d5b792201635615214e6c72664ae8a0e4a9f792557357cf54f9a5573

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b9bc2583995ee10671986158f63627946f258322d43c3aad537a84fafa8c01d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-26T20:37:03Z",
    "title_canon_sha256": "d5b3c35200ea8b3bb82b5d048ab6764e4e31235bece57145038bc80ce26cdb18"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6244",
    "kind": "arxiv",
    "version": 3
  }
}