Pith Number

pith:E5U2VOBF

pith:2013:E5U2VOBFJTI53ZRYXZF7NZR642

not attested not anchored not stored refs pending

Ptolemy diagrams and torsion pairs in the cluster categories of Dynkin type D

Martin Rubey, Peter Jorgensen, Thorsten Holm

arxiv:1303.1684 v1 · 2013-03-07 · math.RT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5U2VOBFJTI53ZRYXZF7NZR642}

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	2026-05-18T03:31:33.418949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2769aab8254cd1dde638be4bf6e63ee6ae039d75bc04b571e1f25b8eec94b631

Aliases

arxiv: 1303.1684 · arxiv_version: 1303.1684v1 · doi: 10.48550/arxiv.1303.1684 · pith_short_12: E5U2VOBFJTI5 · pith_short_16: E5U2VOBFJTI53ZRY · pith_short_8: E5U2VOBF

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/E5U2VOBFJTI53ZRYXZF7NZR642 \
  | 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: 2769aab8254cd1dde638be4bf6e63ee6ae039d75bc04b571e1f25b8eec94b631

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c902de60802ebb8a38ae68ff91f9027725a6c7ec7d7943f18b6a4e7c16cbee3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-03-07T13:31:18Z",
    "title_canon_sha256": "6bced43b9ca3dbac626716f1b4f16762986ca2c189a6d09c337382cdf588d58d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1684",
    "kind": "arxiv",
    "version": 1
  }
}