Pith Number

pith:TGK7WW57

pith:2018:TGK7WW5745ISF77H346K5ZIWAK

not attested not anchored not stored refs pending

Directed unions of local monoidal transforms and GCD domains

Lorenzo Guerrieri

arxiv:1808.07735 v1 · 2018-08-23 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGK7WW5745ISF77H346K5ZIWAK}

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	2026-05-18T00:07:24.408956Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9995fb5bbfe75122ffe7df3caee51602bf9d95b0f1cb4c5c5c22b30d622c7c93

Aliases

arxiv: 1808.07735 · arxiv_version: 1808.07735v1 · doi: 10.48550/arxiv.1808.07735 · pith_short_12: TGK7WW5745IS · pith_short_16: TGK7WW5745ISF77H · pith_short_8: TGK7WW57

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/TGK7WW5745ISF77H346K5ZIWAK \
  | 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: 9995fb5bbfe75122ffe7df3caee51602bf9d95b0f1cb4c5c5c22b30d622c7c93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4398058e312c0f1cd2f1fd4769b8df26a31f635c1dc76afe82b4a7f1e207f6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-08-23T13:16:28Z",
    "title_canon_sha256": "1feae8c0e6862c542ed3486d129fb91a5fd6a487940261ecade284c0b01980da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.07735",
    "kind": "arxiv",
    "version": 1
  }
}