Pith Number

pith:X2TAC4UL

pith:2012:X2TAC4ULAP6N7U6WSHQDS4VBPM

not attested not anchored not stored refs pending

Representations of posets: Linear versus Unitary

Kostyantyn Yusenko, Vyacheslav Futorny, Yurii Samoilenko

arxiv:1202.3917 v1 · 2012-02-17 · math.RT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2TAC4ULAP6N7U6WSHQDS4VBPM}

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	2026-05-18T01:58:24.078534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bea601728b03fcdfd3d691e03972a17b15b7f0101dde354ec3f4aa95dcc9f0e5

Aliases

arxiv: 1202.3917 · arxiv_version: 1202.3917v1 · doi: 10.48550/arxiv.1202.3917 · pith_short_12: X2TAC4ULAP6N · pith_short_16: X2TAC4ULAP6N7U6W · pith_short_8: X2TAC4UL

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/X2TAC4ULAP6N7U6WSHQDS4VBPM \
  | 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: bea601728b03fcdfd3d691e03972a17b15b7f0101dde354ec3f4aa95dcc9f0e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30774e8d4c4119c32b6744cf29542487a8d66b365d360d13080c6061a39d0ffd",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-02-17T14:38:15Z",
    "title_canon_sha256": "b0eaea47fa4334c84229472539318ba48032f6ce79f988b8c8be81f9c5508095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3917",
    "kind": "arxiv",
    "version": 1
  }
}