Pith Number

pith:E7G5RKXZ

pith:2012:E7G5RKXZRLHSNNDDQYRW2J3CAD

not attested not anchored not stored refs pending

A note on Isomorphism theorems for semigroups of order-preserving transformations with restricted range

Phichet Jitjankarn, Thitarie Rungratgasame

arxiv:1202.2977 v4 · 2012-02-14 · 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{E7G5RKXZRLHSNNDDQYRW2J3CAD}

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	2026-05-18T01:37:08.257995Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27cdd8aaf98acf26b46386236d276200dd2d6c3ed5b1438b8b46252ec9f12505

Aliases

arxiv: 1202.2977 · arxiv_version: 1202.2977v4 · doi: 10.48550/arxiv.1202.2977 · pith_short_12: E7G5RKXZRLHS · pith_short_16: E7G5RKXZRLHSNNDD · pith_short_8: E7G5RKXZ

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/E7G5RKXZRLHSNNDDQYRW2J3CAD \
  | 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: 27cdd8aaf98acf26b46386236d276200dd2d6c3ed5b1438b8b46252ec9f12505

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1af74bf4bd0a2492e1abdad09b58808ecafb74702630c125a60397bbf9c65aee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-02-14T09:56:19Z",
    "title_canon_sha256": "3937b2e603494d8cf22719e82e21ec1c5a4a9fd85500713fc4484c86484d9c85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2977",
    "kind": "arxiv",
    "version": 4
  }
}