Pith Number

pith:U7TLAIDB

pith:2013:U7TLAIDBPJLKQYCTZREVTYE5HA

not attested not anchored not stored refs pending

The F-method and a branching problem for generalized Verma modules associated to $({\LieGtwo},{so(7)})$

Petr Somberg, Todor Milev

arxiv:1303.7311 v3 · 2013-03-29 · math.RT · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7TLAIDBPJLKQYCTZREVTYE5HA}

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	2026-05-18T02:56:05.272093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e6b020617a56a86053cc4959e09d3805ccfcdec8233a697274e78f4bbf24f2

Aliases

arxiv: 1303.7311 · arxiv_version: 1303.7311v3 · doi: 10.48550/arxiv.1303.7311 · pith_short_12: U7TLAIDBPJLK · pith_short_16: U7TLAIDBPJLKQYCT · pith_short_8: U7TLAIDB

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/U7TLAIDBPJLKQYCTZREVTYE5HA \
  | 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: a7e6b020617a56a86053cc4959e09d3805ccfcdec8233a697274e78f4bbf24f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb6a0c8233c502a76348a19e289186ff70b6a47a48c77f14014697bcf84865d",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-03-29T06:58:58Z",
    "title_canon_sha256": "15e89ced75441a6fe48591022cf7d62d03380f7552d31d6a3706a6276716dcbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7311",
    "kind": "arxiv",
    "version": 3
  }
}