Pith Number

pith:FDR3DBAC

pith:2012:FDR3DBACQD3W4TXTR2XPHQ65LP

not attested not anchored not stored refs pending

Monomial ideals of minimal depth and trivial modifications

Muhammad Ishaq

arxiv:1203.3319 v1 · 2012-03-15 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FDR3DBACQD3W4TXTR2XPHQ65LP}

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	2026-05-18T04:00:02.142501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28e3b1840280f76e4ef38eaef3c3dd5bcadf31e2b929c46335f5bd4a2d5bdb22

Aliases

arxiv: 1203.3319 · arxiv_version: 1203.3319v1 · doi: 10.48550/arxiv.1203.3319 · pith_short_12: FDR3DBACQD3W · pith_short_16: FDR3DBACQD3W4TXT · pith_short_8: FDR3DBAC

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/FDR3DBACQD3W4TXTR2XPHQ65LP \
  | 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: 28e3b1840280f76e4ef38eaef3c3dd5bcadf31e2b929c46335f5bd4a2d5bdb22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "429031f19130c8819c37e1045db5443830fef1be50b0176860890b1862fd907f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-03-15T11:06:34Z",
    "title_canon_sha256": "b69e3cbff4dc7a14f436f5fa59f79d263f34cb093b86ba40cbf39dad0eeb79f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.3319",
    "kind": "arxiv",
    "version": 1
  }
}