Pith Number

pith:4ETROW4X

pith:2017:4ETROW4XJAFWG5Z3AZDAV73Y7H

not attested not anchored not stored refs pending

An abstract characterization of noncommutative projective lines

A. Nyman

arxiv:1704.04544 v2 · 2017-04-14 · math.AG · math.QA · 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{4ETROW4XJAFWG5Z3AZDAV73Y7H}

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	2026-05-18T00:30:04.864697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e127175b97480b63773b06460aff78f9c5252d00c0ec5851a302129096eafe74

Aliases

arxiv: 1704.04544 · arxiv_version: 1704.04544v2 · doi: 10.48550/arxiv.1704.04544 · pith_short_12: 4ETROW4XJAFW · pith_short_16: 4ETROW4XJAFWG5Z3 · pith_short_8: 4ETROW4X

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/4ETROW4XJAFWG5Z3AZDAV73Y7H \
  | 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: e127175b97480b63773b06460aff78f9c5252d00c0ec5851a302129096eafe74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97a2c3ce26a48952c9ecb7a500fc0108457e33a821814cf52083d814b22b4efa",
    "cross_cats_sorted": [
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-04-14T21:06:22Z",
    "title_canon_sha256": "4f3957e2a13d91329b026bfeb180e63a28dc815d8bb5a2eaf1104b7c60a48068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.04544",
    "kind": "arxiv",
    "version": 2
  }
}