Pith Number

pith:5W3N4B5E

pith:2017:5W3N4B5EOBHLGHTYHPUPXTV3QM

not attested not anchored not stored refs pending

The Rees algebra of a two-Borel ideal is Koszul

Christopher A. Francisco, Gabriel Sosa, Jay Schweig, Jeffrey Mermin, Michael DiPasquale

arxiv:1706.07462 v1 · 2017-06-22 · 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{5W3N4B5EOBHLGHTYHPUPXTV3QM}

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	2026-05-18T00:41:49.024535Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

edb6de07a4704eb31e783be8fbcebb8333114ae7ec8be20734a00a1c20ce74bd

Aliases

arxiv: 1706.07462 · arxiv_version: 1706.07462v1 · doi: 10.48550/arxiv.1706.07462 · pith_short_12: 5W3N4B5EOBHL · pith_short_16: 5W3N4B5EOBHLGHTY · pith_short_8: 5W3N4B5E

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/5W3N4B5EOBHLGHTYHPUPXTV3QM \
  | 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: edb6de07a4704eb31e783be8fbcebb8333114ae7ec8be20734a00a1c20ce74bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df3cc51b45191ae83c379ccb17e32d2976bfc333871fc45da093a87e7c1cb8f0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-06-22T19:06:33Z",
    "title_canon_sha256": "a94388d6cb67de95e5df314670fbad648a0c9f7a0d7073b87e534269ae474630"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07462",
    "kind": "arxiv",
    "version": 1
  }
}