Pith Number

pith:V2GTYCPR

pith:2015:V2GTYCPRI6W6POJUZRJA63SX47

not attested not anchored not stored refs pending

On the set of catenary degrees of finitely generated cancellative commutative monoids

Christopher O'Neill, Gautam Webb, Reuben Tate, Vadim Ponomarenko

arxiv:1506.07587 v3 · 2015-06-25 · 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{V2GTYCPRI6W6POJUZRJA63SX47}

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	2026-05-18T00:08:16.476655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae8d3c09f147ade7b934cc520f6e57e7e38d032945f4b25240977557d4fad675

Aliases

arxiv: 1506.07587 · arxiv_version: 1506.07587v3 · doi: 10.48550/arxiv.1506.07587 · pith_short_12: V2GTYCPRI6W6 · pith_short_16: V2GTYCPRI6W6POJU · pith_short_8: V2GTYCPR

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/V2GTYCPRI6W6POJUZRJA63SX47 \
  | 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: ae8d3c09f147ade7b934cc520f6e57e7e38d032945f4b25240977557d4fad675

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d188d36f061da41651c4e58d8677195571876bb3ea86dc789b1cf4c14db3493d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-06-25T00:43:09Z",
    "title_canon_sha256": "05289aa6a9d9b26af5860e06ac79cfa3d0e6e5c1255a5e4d3c99b6437486f078"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07587",
    "kind": "arxiv",
    "version": 3
  }
}