Pith Number

pith:QFCKZQNW

pith:2016:QFCKZQNWEQD3V7VWIDPNZOTIOX

not attested not anchored not stored refs pending

Stratified Langlands duality in the $A_n$ tower

Graham A. Niblo, Nick Wright, Roger Plymen

arxiv:1611.05218 v1 · 2016-11-16 · math.KT · 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{QFCKZQNWEQD3V7VWIDPNZOTIOX}

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	2026-05-18T00:58:27.631932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8144acc1b62407bafeb640dedcba6875f6959b136e315cac1b1e410f74ad4000

Aliases

arxiv: 1611.05218 · arxiv_version: 1611.05218v1 · doi: 10.48550/arxiv.1611.05218 · pith_short_12: QFCKZQNWEQD3 · pith_short_16: QFCKZQNWEQD3V7VW · pith_short_8: QFCKZQNW

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/QFCKZQNWEQD3V7VWIDPNZOTIOX \
  | 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: 8144acc1b62407bafeb640dedcba6875f6959b136e315cac1b1e410f74ad4000

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ba3845f1190969f1083cd1b67c1769d4a9019f238cc5923ab6e6b2ae0a99861",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2016-11-16T10:54:58Z",
    "title_canon_sha256": "b755ecfaa07439008c28757463e0f4dd68fccbc50c7a47b5304cb851bd85c268"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05218",
    "kind": "arxiv",
    "version": 1
  }
}