Pith Number

pith:BLDEHFPH

pith:2012:BLDEHFPHOYDYHMAPV67VQQ4YCR

not attested not anchored not stored refs pending

$p$-adic Langlands functoriality for the definite unitary group

Paul-James White

arxiv:1206.2193 v1 · 2012-06-11 · 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{BLDEHFPHOYDYHMAPV67VQQ4YCR}

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	2026-05-18T03:53:53.228562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac64395e7760783b00fafbf584398146bc285bf78842ca837eacbd0857d4814

Aliases

arxiv: 1206.2193 · arxiv_version: 1206.2193v1 · doi: 10.48550/arxiv.1206.2193 · pith_short_12: BLDEHFPHOYDY · pith_short_16: BLDEHFPHOYDYHMAP · pith_short_8: BLDEHFPH

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/BLDEHFPHOYDYHMAPV67VQQ4YCR \
  | 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: 0ac64395e7760783b00fafbf584398146bc285bf78842ca837eacbd0857d4814

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5177ca7c64cbbe3b04556e64c55306b7fb39058a0ce2cfba287b07dcd968e9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-06-11T13:16:12Z",
    "title_canon_sha256": "d42459412a11b0585db45f18cf6329366a3f300ae9e862e7d4935aafba729e33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2193",
    "kind": "arxiv",
    "version": 1
  }
}