Pith Number

pith:VSD5YSHI

pith:2012:VSD5YSHIIDBQOIPDRBCKOX43H2

not attested not anchored not stored refs pending

Perfect orderings on Bratteli diagrams

Jan Kwiatkowski, Reem Yassawi, Sergey Bezuglyi

arxiv:1204.1621 v3 · 2012-04-07 · 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{VSD5YSHIIDBQOIPDRBCKOX43H2}

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	2026-05-18T03:16:17.550013Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac87dc48e840c30721e38844a75f9b3eab45d6720e50bb322f6ce4b4ab520ebf

Aliases

arxiv: 1204.1621 · arxiv_version: 1204.1621v3 · doi: 10.48550/arxiv.1204.1621 · pith_short_12: VSD5YSHIIDBQ · pith_short_16: VSD5YSHIIDBQOIPD · pith_short_8: VSD5YSHI

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/VSD5YSHIIDBQOIPDRBCKOX43H2 \
  | 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: ac87dc48e840c30721e38844a75f9b3eab45d6720e50bb322f6ce4b4ab520ebf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "697c75c91d8a7ffb8a529325eaab6c8a26773c3cab35cae8c8457eb9f52fd3dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-04-07T11:46:57Z",
    "title_canon_sha256": "53307a2713e92dbf76f1b576b333a4c7a43f2f8ee3dbd255d35c6028148c9c03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1621",
    "kind": "arxiv",
    "version": 3
  }
}