Pith Number

pith:U33ZAB4X

pith:2018:U33ZAB4XXEQLYC7TJMDUISS3EL

not attested not anchored not stored refs pending

Explicit Boij-Soderberg theory of ideals from a graph isomorphism reduction

Alexander Engstrom, Laura Jakobsson, Milo Orlich

arxiv:1810.10055 v2 · 2018-10-23 · 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{U33ZAB4XXEQLYC7TJMDUISS3EL}

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	2026-05-17T23:54:39.119127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6f7900797b920bc0bf34b07444a5b22d50a8d02fb5cb76d9e7efa54e058b959

Aliases

arxiv: 1810.10055 · arxiv_version: 1810.10055v2 · doi: 10.48550/arxiv.1810.10055 · pith_short_12: U33ZAB4XXEQL · pith_short_16: U33ZAB4XXEQLYC7T · pith_short_8: U33ZAB4X

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/U33ZAB4XXEQLYC7TJMDUISS3EL \
  | 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: a6f7900797b920bc0bf34b07444a5b22d50a8d02fb5cb76d9e7efa54e058b959

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8a4b36f661a6664ffbbebbd04da746eea8f356b78bae4ccf3de39aad7ffd343",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-10-23T19:07:44Z",
    "title_canon_sha256": "8f67153b6aaf620abfdbf7d0e8a52d54597ac3c32d4e81a786d9093c1fef5c74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.10055",
    "kind": "arxiv",
    "version": 2
  }
}