Pith Number

pith:V7BYHGNR

pith:2013:V7BYHGNRQ6PZDKCM4STH7ZEMEG

not attested not anchored not stored refs pending

Branching laws for Verma modules and applications in parabolic geometry. I

Bent {\O}rsted, Petr Somberg, Toshiyuki Kobayashi, Vladimir Soucek

arxiv:1305.6040 v3 · 2013-05-26 · math.RT · math-ph · math.AP · math.DG · math.FA · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7BYHGNRQ6PZDKCM4STH7ZEMEG}

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	2026-05-18T01:34:55.757659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

afc38399b1879f91a84ce4a67fe48c21b29f97603669afd6200284367e4844bb

Aliases

arxiv: 1305.6040 · arxiv_version: 1305.6040v3 · doi: 10.48550/arxiv.1305.6040 · pith_short_12: V7BYHGNRQ6PZ · pith_short_16: V7BYHGNRQ6PZDKCM · pith_short_8: V7BYHGNR

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/V7BYHGNRQ6PZDKCM4STH7ZEMEG \
  | 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: afc38399b1879f91a84ce4a67fe48c21b29f97603669afd6200284367e4844bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5a8591c308b517fe7bf02574de177edf8c340127aaac000d25f6a913205bb81",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.DG",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-05-26T16:14:25Z",
    "title_canon_sha256": "96298aa4926c7cfc174bd0286975a4606d5bf46d8bc91df425fd1aa7c55ce8a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6040",
    "kind": "arxiv",
    "version": 3
  }
}