Pith Number

pith:GXXBOYDP

pith:2011:GXXBOYDPRHFBWQYRPVE5MUXH47

not attested not anchored not stored refs pending

Sequentially Cohen--Macaulayness of bigraded modules

Ahad Rahimi

arxiv:1112.3717 v3 · 2011-12-16 · 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{GXXBOYDPRHFBWQYRPVE5MUXH47}

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	2026-05-18T01:30:15.895518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35ee17606f89ca1b43117d49d652e7e7ea01477e56a106a1a42451cf50780fb3

Aliases

arxiv: 1112.3717 · arxiv_version: 1112.3717v3 · doi: 10.48550/arxiv.1112.3717 · pith_short_12: GXXBOYDPRHFB · pith_short_16: GXXBOYDPRHFBWQYR · pith_short_8: GXXBOYDP

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/GXXBOYDPRHFBWQYRPVE5MUXH47 \
  | 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: 35ee17606f89ca1b43117d49d652e7e7ea01477e56a106a1a42451cf50780fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c1ca14c26f3d1d414123b54746c132b870c006f60b9f0b0eb35d2f582466dd4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-12-16T06:08:33Z",
    "title_canon_sha256": "89785a8734cc4e9c4fcbffe3e76876412f6f20a6a264e59547434a450e9e8236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3717",
    "kind": "arxiv",
    "version": 3
  }
}