Pith Number

pith:KNFVD4TU

pith:2017:KNFVD4TUVSEXYT57XZM5KGXPLM

not attested not anchored not stored refs pending

The monotone catenary degree of monoids of ideals

Alfred Geroldinger, Andreas Reinhart

arxiv:1709.10270 v1 · 2017-09-29 · 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{KNFVD4TUVSEXYT57XZM5KGXPLM}

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	2026-05-18T00:34:03.694097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

534b51f274ac897c4fbfbe59d51aef5b351fed0df8c4b46200b194692a79e8e0

Aliases

arxiv: 1709.10270 · arxiv_version: 1709.10270v1 · doi: 10.48550/arxiv.1709.10270 · pith_short_12: KNFVD4TUVSEX · pith_short_16: KNFVD4TUVSEXYT57 · pith_short_8: KNFVD4TU

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/KNFVD4TUVSEXYT57XZM5KGXPLM \
  | 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: 534b51f274ac897c4fbfbe59d51aef5b351fed0df8c4b46200b194692a79e8e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fd0cb9fd13aee3618c6bd92b497752b965e7a709f9738061daeee60f65fde54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-09-29T07:49:45Z",
    "title_canon_sha256": "bde4cc11b8a4cf11b85bddb29982de6c4d045b28eec2f6f998a6afcd352a4c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.10270",
    "kind": "arxiv",
    "version": 1
  }
}