Pith Number

pith:7YPCCJIP

pith:2012:7YPCCJIPT6EIE6L2QQUMWGNOTZ

not attested not anchored not stored refs pending

The dynamics of Leavitt path algebras

R. Hazrat

arxiv:1209.2908 v1 · 2012-09-13 · 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{7YPCCJIPT6EIE6L2QQUMWGNOTZ}

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	2026-05-18T03:45:40.622855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe1e21250f9f8882797a8428cb19ae9e76a3b039315af6d2b6301836e3c4363e

Aliases

arxiv: 1209.2908 · arxiv_version: 1209.2908v1 · doi: 10.48550/arxiv.1209.2908 · pith_short_12: 7YPCCJIPT6EI · pith_short_16: 7YPCCJIPT6EIE6L2 · pith_short_8: 7YPCCJIP

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/7YPCCJIPT6EIE6L2QQUMWGNOTZ \
  | 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: fe1e21250f9f8882797a8428cb19ae9e76a3b039315af6d2b6301836e3c4363e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1b22d5f6832b70fcc5b85116cecf113bd6f3a7e8bf22bd231554ca53a8f07fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-09-13T14:31:32Z",
    "title_canon_sha256": "17837481c1d7a50869534e7154f1c2c66190a7d10db3d5d95323542b24c90da9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2908",
    "kind": "arxiv",
    "version": 1
  }
}