Pith Number

pith:Z5PHMASA

pith:2012:Z5PHMASA2J2ECOROCH2UUXUHUK

not attested not anchored not stored refs pending

Torsion pairs in cluster tubes

Martin Rubey, Peter Jorgensen, Thorsten Holm

arxiv:1207.3206 v1 · 2012-07-13 · 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{Z5PHMASA2J2ECOROCH2UUXUHUK}

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	2026-05-18T02:50:24.498570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf5e760240d274413a2e11f54a5e87a2897d316e3b9506bfde1b36cea651c43f

Aliases

arxiv: 1207.3206 · arxiv_version: 1207.3206v1 · doi: 10.48550/arxiv.1207.3206 · pith_short_12: Z5PHMASA2J2E · pith_short_16: Z5PHMASA2J2ECORO · pith_short_8: Z5PHMASA

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/Z5PHMASA2J2ECOROCH2UUXUHUK \
  | 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: cf5e760240d274413a2e11f54a5e87a2897d316e3b9506bfde1b36cea651c43f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af4fff57567a7d9e9972dc61a72491b0e2e5b67296b5d27d03381bce4f83d403",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-07-13T11:42:25Z",
    "title_canon_sha256": "ba7a255700e3e9d58023a9ef82b95dead7069fdb4a67f20c6fec5adf54d3c978"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3206",
    "kind": "arxiv",
    "version": 1
  }
}