Pith Number

pith:5Q7HVPX7

pith:2012:5Q7HVPX76FEU7AT5HB3C6TX4SV

not attested not anchored not stored refs pending

Root polytopes and Borel subalgebras

Mario Marietti, Paola Cellini

arxiv:1203.0756 v2 · 2012-03-04 · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5Q7HVPX76FEU7AT5HB3C6TX4SV}

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	2026-05-18T01:00:13.133734Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec3e7abefff1494f827d38762f4efc9548e6ff7a00e1594526692999da82a1ae

Aliases

arxiv: 1203.0756 · arxiv_version: 1203.0756v2 · doi: 10.48550/arxiv.1203.0756 · pith_short_12: 5Q7HVPX76FEU · pith_short_16: 5Q7HVPX76FEU7AT5 · pith_short_8: 5Q7HVPX7

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/5Q7HVPX76FEU7AT5HB3C6TX4SV \
  | 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: ec3e7abefff1494f827d38762f4efc9548e6ff7a00e1594526692999da82a1ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94389b9c861fb5e1ba981c2739cbcea79c8d9ba50dc088013cafc79a159cf2a3",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-04T18:24:36Z",
    "title_canon_sha256": "287f2d67375952f70c2500c5706330e1b88d8c0a88ead6d2a38bb0353ea4f63e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0756",
    "kind": "arxiv",
    "version": 2
  }
}