Pith Number

pith:DNK4EACW

pith:2016:DNK4EACWGTRAUISUXRGTN7GRGR

not attested not anchored not stored refs pending

Toward a Theory of Monomial Preorders

Gregor Kemper, Ngo Viet Trung, Nguyen Thi Van Anh

arxiv:1608.03725 v3 · 2016-08-12 · 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{DNK4EACWGTRAUISUXRGTN7GRGR}

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	2026-05-18T00:44:00.391871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b55c2005634e20a2254bc4d36fcd13452246f6876b7c7b4e7cc1c7fffcb94f7

Aliases

arxiv: 1608.03725 · arxiv_version: 1608.03725v3 · doi: 10.48550/arxiv.1608.03725 · pith_short_12: DNK4EACWGTRA · pith_short_16: DNK4EACWGTRAUISU · pith_short_8: DNK4EACW

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/DNK4EACWGTRAUISUXRGTN7GRGR \
  | 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: 1b55c2005634e20a2254bc4d36fcd13452246f6876b7c7b4e7cc1c7fffcb94f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fb329ad1b08f85a37c705e94ffcd641b451076a9576bb97fe97638c8007e770",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-08-12T09:05:52Z",
    "title_canon_sha256": "96665b8fab5b81cbaa9ca7ddd88631ee5d624ba674c97f2019a38591026b7236"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.03725",
    "kind": "arxiv",
    "version": 3
  }
}