Pith Number

pith:O5Z26TKG

pith:2016:O5Z26TKGI5DJ42CH74LXTKQE54

not attested not anchored not stored refs pending

On the divisor-class group of monadic submonoids of rings of integer-valued polynomials

Andreas Reinhart

arxiv:1604.03594 v1 · 2016-04-12 · 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{O5Z26TKGI5DJ42CH74LXTKQE54}

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	2026-05-18T01:17:12.239963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7773af4d4647469e6847ff1779aa04ef1b9d98a2dab5742b3802561e9bcd1dbb

Aliases

arxiv: 1604.03594 · arxiv_version: 1604.03594v1 · doi: 10.48550/arxiv.1604.03594 · pith_short_12: O5Z26TKGI5DJ · pith_short_16: O5Z26TKGI5DJ42CH · pith_short_8: O5Z26TKG

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/O5Z26TKGI5DJ42CH74LXTKQE54 \
  | 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: 7773af4d4647469e6847ff1779aa04ef1b9d98a2dab5742b3802561e9bcd1dbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "144e9f4559baa47e934d2fbfbeb3bf258e50bf63823e65729c434d71a3582209",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-04-12T21:35:19Z",
    "title_canon_sha256": "6fc492e117d1d70c4bba35eebf6d3a05fa48fb942d8fdfa16b3c8561f6a83fa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03594",
    "kind": "arxiv",
    "version": 1
  }
}