Pith Number

pith:HFMG5UH3

pith:2018:HFMG5UH3Z3NPME4YRLEEHYFPSM

not attested not anchored not stored refs pending

Idempotent geometry in generic algebras

Vladimir G. Tkachev, Yakov Krasnov

arxiv:1802.04994 v2 · 2018-02-14 · math.RA · math.AC · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HFMG5UH3Z3NPME4YRLEEHYFPSM}

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	2026-05-18T00:06:05.111287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39586ed0fbcedaf613988ac843e0af9334a4ff3415de4099713def4a03915117

Aliases

arxiv: 1802.04994 · arxiv_version: 1802.04994v2 · doi: 10.48550/arxiv.1802.04994 · pith_short_12: HFMG5UH3Z3NP · pith_short_16: HFMG5UH3Z3NPME4Y · pith_short_8: HFMG5UH3

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/HFMG5UH3Z3NPME4YRLEEHYFPSM \
  | 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: 39586ed0fbcedaf613988ac843e0af9334a4ff3415de4099713def4a03915117

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b6d6c8a9fcf624d607c9a86d85a69af75dae50e562f304d6a0b7cd6203fbc5a",
    "cross_cats_sorted": [
      "math.AC",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2018-02-14T09:07:31Z",
    "title_canon_sha256": "cdcc83121e2ef57a152f79518e658011264bcce995968f5f6857524db3c28eb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.04994",
    "kind": "arxiv",
    "version": 2
  }
}