Pith Number

pith:TKAJXOKT

pith:2016:TKAJXOKTNNLHRXVSBILWMK7JLM

not attested not anchored not stored refs pending

Taking Prime, Maximal and Two--class Congruences Through Morphisms

Claudia Mure\c{s}an

arxiv:1607.06901 v1 · 2016-07-23 · 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{TKAJXOKTNNLHRXVSBILWMK7JLM}

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	2026-05-18T01:10:35.512360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a809bb9536b5678deb20a17662be95b36ce4e2f1a110f77effb9b8e659529e2

Aliases

arxiv: 1607.06901 · arxiv_version: 1607.06901v1 · doi: 10.48550/arxiv.1607.06901 · pith_short_12: TKAJXOKTNNLH · pith_short_16: TKAJXOKTNNLHRXVS · pith_short_8: TKAJXOKT

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/TKAJXOKTNNLHRXVSBILWMK7JLM \
  | 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: 9a809bb9536b5678deb20a17662be95b36ce4e2f1a110f77effb9b8e659529e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89b90ee04d8d90665b85357a1eb1b74f726230813af5a5d1418b29035ce1c8dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2016-07-23T07:48:54Z",
    "title_canon_sha256": "4332f9a1c93c06d7c0d5a2e4b85dae8706c95fbf87ec72c4c258bcf779adbac0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06901",
    "kind": "arxiv",
    "version": 1
  }
}