Pith Number

pith:LSES5X5N

pith:2013:LSES5X5NWMFBDCPRBALOJZ6B4Q

not attested not anchored not stored refs pending

On Branching Rules of Depth-Zero Representations

Monica Nevins

arxiv:1302.5618 v3 · 2013-02-22 · 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{LSES5X5NWMFBDCPRBALOJZ6B4Q}

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	2026-05-18T02:43:00.851452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c892edfadb30a1189f10816e4e7c1e43d327142a79c58f516d6b92d7384cedf

Aliases

arxiv: 1302.5618 · arxiv_version: 1302.5618v3 · doi: 10.48550/arxiv.1302.5618 · pith_short_12: LSES5X5NWMFB · pith_short_16: LSES5X5NWMFBDCPR · pith_short_8: LSES5X5N

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/LSES5X5NWMFBDCPRBALOJZ6B4Q \
  | 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: 5c892edfadb30a1189f10816e4e7c1e43d327142a79c58f516d6b92d7384cedf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf6d2abbb0359b954e5004e328256d4d0966be49e4fad3c09880ad7cf7408cc6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-02-22T15:27:23Z",
    "title_canon_sha256": "39713f3e15c05f76158c6f59669c7e6c634ec72e9257562a66193984cbe62456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5618",
    "kind": "arxiv",
    "version": 3
  }
}