Pith Number

pith:JK24WQEV

pith:2015:JK24WQEV3KSHYXY6QK75RO5BZC

not attested not anchored not stored refs pending

Coherency, free inverse monoids and free left ample monoids

Miklos Hartmann, Victoria Gould

arxiv:1501.00404 v1 · 2015-01-02 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JK24WQEV3KSHYXY6QK75RO5BZC}

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	2026-05-18T02:30:09.264952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab5cb4095daa47c5f1e82bfd8bba1c8904afe9793e5b5e08b3e22a5d990db6e

Aliases

arxiv: 1501.00404 · arxiv_version: 1501.00404v1 · doi: 10.48550/arxiv.1501.00404 · pith_short_12: JK24WQEV3KSH · pith_short_16: JK24WQEV3KSHYXY6 · pith_short_8: JK24WQEV

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/JK24WQEV3KSHYXY6QK75RO5BZC \
  | 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: 4ab5cb4095daa47c5f1e82bfd8bba1c8904afe9793e5b5e08b3e22a5d990db6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3e53943f1d59d5d17e84a1a3cb238e4db86038ccddb62df387e8fbd04256251",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-01-02T14:06:48Z",
    "title_canon_sha256": "a881618d1409ef663c6c623ef667f1604587957b371e1bb54e2623a421a7be6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00404",
    "kind": "arxiv",
    "version": 1
  }
}