Pith Number

pith:62LILKKF

pith:2007:62LILKKFVD2WSLLEGC2N335JLR

not attested not anchored not stored refs pending

Branching rules for unramified principal series representations of GL(3) over a p-adic field

Monica Nevins, Peter S. Campbell

arxiv:0710.3261 v1 · 2007-10-17 · 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{62LILKKFVD2WSLLEGC2N335JLR}

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	2026-07-04T15:05:00.068465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f69685a945a8f5692d6430b4ddefa95c5777a9b999bea5d41abf62d59f94c385

Aliases

arxiv: 0710.3261 · arxiv_version: 0710.3261v1 · doi: 10.48550/arxiv.0710.3261 · pith_short_12: 62LILKKFVD2W · pith_short_16: 62LILKKFVD2WSLLE · pith_short_8: 62LILKKF

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/62LILKKFVD2WSLLEGC2N335JLR \
  | 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: f69685a945a8f5692d6430b4ddefa95c5777a9b999bea5d41abf62d59f94c385

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5c24bd4858ca4f6d165334ed74611f86c17577fcfebfcd9bfa6dae3531bcd6c4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2007-10-17T10:36:33Z",
    "title_canon_sha256": "237edc5d046a3b0815c57cb80a6f8fd901eeb860219bc97eb31c518505e0d28b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3261",
    "kind": "arxiv",
    "version": 1
  }
}