Pith Number

pith:EM3PLAOH

pith:2025:EM3PLAOHRZL6E57ZUUYBW7UNSQ

not attested not anchored not stored refs pending

A guide to topological reconstruction on endomorphism monoids and polymorphism clones

Michael Pinsker, Paolo Marimon

arxiv:2512.01086 v2 · 2025-11-30 · math.LO · math.GR · 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{EM3PLAOHRZL6E57ZUUYBW7UNSQ}

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.

Cited by

1 paper in Pith

Polish topologies on endomorphism monoids of linear orders

Receipt and verification

First computed	2026-07-13T01:20:04.442636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2336f581c78e57e277f9a5301b7e8d94133e52058d3aee8977ca64b3b5380587

Aliases

arxiv: 2512.01086 · arxiv_version: 2512.01086v2 · doi: 10.48550/arxiv.2512.01086 · pith_short_12: EM3PLAOHRZL6 · pith_short_16: EM3PLAOHRZL6E57Z · pith_short_8: EM3PLAOH

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/EM3PLAOHRZL6E57ZUUYBW7UNSQ \
  | 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: 2336f581c78e57e277f9a5301b7e8d94133e52058d3aee8977ca64b3b5380587

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "251a56f4bc70b2a7fc2ff5428f849ff005915a517191df9c66f28211239d7903",
    "cross_cats_sorted": [
      "math.GR",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2025-11-30T21:09:49Z",
    "title_canon_sha256": "77d6e452e9d32a1b08f0f019d14f968a77ca917e4cc6065eb00aa6dd771dd05c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.01086",
    "kind": "arxiv",
    "version": 2
  }
}