Pith Number

pith:XVXXW2GV

pith:2012:XVXXW2GVCA4FH7HWZGMMTHX4CW

not attested not anchored not stored refs pending

Langlands parameters associated to special maximal parahoric spherical representations

Manish Mishra

arxiv:1212.0273 v2 · 2012-12-03 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVXXW2GVCA4FH7HWZGMMTHX4CW}

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	2026-05-18T03:08:47.464117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd6f7b68d5103853fcf6c998c99efc15a7f99fcfc0d3842d32c0ab2c2ec365dc

Aliases

arxiv: 1212.0273 · arxiv_version: 1212.0273v2 · doi: 10.48550/arxiv.1212.0273 · pith_short_12: XVXXW2GVCA4F · pith_short_16: XVXXW2GVCA4FH7HW · pith_short_8: XVXXW2GV

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/XVXXW2GVCA4FH7HWZGMMTHX4CW \
  | 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: bd6f7b68d5103853fcf6c998c99efc15a7f99fcfc0d3842d32c0ab2c2ec365dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c4e4eb1fa784b5f2905a07f874826923e9f1205830392da0e08a3ec93758c03",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-12-03T02:46:01Z",
    "title_canon_sha256": "d65096d17c5041ee3385c23e786338368c894cce2990d38389b7cb6fd099bf43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.0273",
    "kind": "arxiv",
    "version": 2
  }
}