Pith Number

pith:GOUPAQEP

pith:2013:GOUPAQEP3J3PYLQFEC35QEBPQK

not attested not anchored not stored refs pending

Remarks on the abelian ideals of a Borel subalgebra

Chao-Ping Dong

arxiv:1308.4464 v3 · 2013-08-21 · 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{GOUPAQEP3J3PYLQFEC35QEBPQK}

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	2026-05-18T03:05:18.161838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33a8f0408fda76fc2e0520b7d8102f8281d235ab8c35a8151e5309b5e1a37c5e

Aliases

arxiv: 1308.4464 · arxiv_version: 1308.4464v3 · doi: 10.48550/arxiv.1308.4464 · pith_short_12: GOUPAQEP3J3P · pith_short_16: GOUPAQEP3J3PYLQF · pith_short_8: GOUPAQEP

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/GOUPAQEP3J3PYLQFEC35QEBPQK \
  | 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: 33a8f0408fda76fc2e0520b7d8102f8281d235ab8c35a8151e5309b5e1a37c5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10d913c60784a8459e5c3b9a7f5a153126f05ae4a5a0eeec07d405e676463d7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-08-21T01:30:49Z",
    "title_canon_sha256": "db22ef7970a8f0a9a4a0aff10ba36c5c4a22927b8b13d20221d489c69c561b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4464",
    "kind": "arxiv",
    "version": 3
  }
}