Pith Number

pith:NZSVVSQ5

pith:2009:NZSVVSQ5CMABAI2B7FR6LXA3NX

not attested not anchored not stored refs pending

An Analysis of the Multiplicity Spaces in Branching of Symplectic Groups

Oded Yacobi

arxiv:0907.3247 v2 · 2009-07-18 · math.RT · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZSVVSQ5CMABAI2B7FR6LXA3NX}

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	2026-05-18T03:46:32.482876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e655aca1d1300102341f963e5dc1b6df2dda966e457ef146fe1119646b29a8a

Aliases

arxiv: 0907.3247 · arxiv_version: 0907.3247v2 · doi: 10.48550/arxiv.0907.3247 · pith_short_12: NZSVVSQ5CMAB · pith_short_16: NZSVVSQ5CMABAI2B · pith_short_8: NZSVVSQ5

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/NZSVVSQ5CMABAI2B7FR6LXA3NX \
  | 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: 6e655aca1d1300102341f963e5dc1b6df2dda966e457ef146fe1119646b29a8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a6e64adc3ad0be1f202d1fcf31098721989604e0db29cc1110518f0d9df61cf",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-07-18T23:23:43Z",
    "title_canon_sha256": "6c9ef7f8812a83b92a429cfb1f4919d75206beaeedde381adbfb35c4544e73d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.3247",
    "kind": "arxiv",
    "version": 2
  }
}