Pith Number

pith:MDNKGU66

pith:2010:MDNKGU66AUMD7NZ2KRGRP2UXWL

not attested not anchored not stored refs pending

Gr\"obner bases of syzygies and Stanley depth

Gunnar Floystad, Juergen Herzog

arxiv:1003.4495 v1 · 2010-03-23 · 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{MDNKGU66AUMD7NZ2KRGRP2UXWL}

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	2026-05-18T01:03:41.281890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60daa353de05183fb73a544d17ea97b2c4a7225471d30376c57679d97f047f41

Aliases

arxiv: 1003.4495 · arxiv_version: 1003.4495v1 · doi: 10.48550/arxiv.1003.4495 · pith_short_12: MDNKGU66AUMD · pith_short_16: MDNKGU66AUMD7NZ2 · pith_short_8: MDNKGU66

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/MDNKGU66AUMD7NZ2KRGRP2UXWL \
  | 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: 60daa353de05183fb73a544d17ea97b2c4a7225471d30376c57679d97f047f41

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "005312590906565217752ffb890b8977c3529bf6ec7643c1bbe48a1cbb7b17ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-03-23T19:23:05Z",
    "title_canon_sha256": "59eef5b803c7561968e037e2bad4dbcb20cd2432eb3fbf250125233b5cb3031a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4495",
    "kind": "arxiv",
    "version": 1
  }
}