Pith Number

pith:52O4D66G

pith:2013:52O4D66GHIQUM3DNUZ6MCTWAEK

not attested not anchored not stored refs pending

Some geometric facets of the Langlands correspondence for real groups

Rahbar Virk

arxiv:1312.7483 v5 · 2013-12-29 · 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{52O4D66GHIQUM3DNUZ6MCTWAEK}

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	2026-05-18T01:53:09.590494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee9dc1fbc63a21466c6da67cc14ec022848652eecd5a3be12a05a650429e85ae

Aliases

arxiv: 1312.7483 · arxiv_version: 1312.7483v5 · doi: 10.48550/arxiv.1312.7483 · pith_short_12: 52O4D66GHIQU · pith_short_16: 52O4D66GHIQUM3DN · pith_short_8: 52O4D66G

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/52O4D66GHIQUM3DNUZ6MCTWAEK \
  | 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: ee9dc1fbc63a21466c6da67cc14ec022848652eecd5a3be12a05a650429e85ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "318be1232ac646cd35a46fdd0089c6cef8b12f262962dd00d963cc11091fbb05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-12-29T00:30:58Z",
    "title_canon_sha256": "9574b6b576dd2e67545b4731a36bdc8186e7634b99057cf265ebc0369f953457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7483",
    "kind": "arxiv",
    "version": 5
  }
}