Pith Number

pith:SCHMUSXH

pith:2012:SCHMUSXHQAEMOXVSUNH2NIE6GY

not attested not anchored not stored refs pending

The branching problem for generalized Verma modules, with application to the pair $(so(7),Lie G_2)$, extended version with tables

Petr Somberg, Todor Milev

arxiv:1209.3970 v3 · 2012-09-18 · 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{SCHMUSXHQAEMOXVSUNH2NIE6GY}

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	2026-05-18T03:38:55.645783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

908eca4ae78008c75eb2a34fa6a09e36352ddab9dae5b6ac69aab42cb8c4bb8b

Aliases

arxiv: 1209.3970 · arxiv_version: 1209.3970v3 · doi: 10.48550/arxiv.1209.3970 · pith_short_12: SCHMUSXHQAEM · pith_short_16: SCHMUSXHQAEMOXVS · pith_short_8: SCHMUSXH

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/SCHMUSXHQAEMOXVSUNH2NIE6GY \
  | 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: 908eca4ae78008c75eb2a34fa6a09e36352ddab9dae5b6ac69aab42cb8c4bb8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f75240275cf9f1ec30e6983c7fbf95d3c9c5a647d7fefa3d359e02b1bf65a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-18T14:11:16Z",
    "title_canon_sha256": "a13c368f314f909e8901227d8176b10a03d4b44b737550cf415ae8118448fe11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3970",
    "kind": "arxiv",
    "version": 3
  }
}