Pith Number

pith:4D6FGERC

pith:2013:4D6FGERCG2UIGSFLRDUDTYFXNA

not attested not anchored not stored refs pending

Equivalence of domains with isomorphic semigroups of endomorphisms

Sergei Merenkov

arxiv:1305.4387 v1 · 2013-05-19 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4D6FGERCG2UIGSFLRDUDTYFXNA}

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	2026-05-18T03:25:23.881731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0fc53122236a88348ab88e839e0b76819174365c1ea64dcfcc16564684ccfe6

Aliases

arxiv: 1305.4387 · arxiv_version: 1305.4387v1 · doi: 10.48550/arxiv.1305.4387 · pith_short_12: 4D6FGERCG2UI · pith_short_16: 4D6FGERCG2UIGSFL · pith_short_8: 4D6FGERC

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/4D6FGERCG2UIGSFLRDUDTYFXNA \
  | 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: e0fc53122236a88348ab88e839e0b76819174365c1ea64dcfcc16564684ccfe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "031a7169c53e35fe35434e8728f9eaaf2e70fd3abec873cd622e95b4a93a7225",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-05-19T18:21:25Z",
    "title_canon_sha256": "aaef92b2a077f9e63c21af5f4c081682b062aeea2e818bb42130233c9c71770c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4387",
    "kind": "arxiv",
    "version": 1
  }
}