Pith Number

pith:LWGEXUAM

pith:2013:LWGEXUAMJOHJOP6B3T27FDTXOF

not attested not anchored not stored refs pending

On the Langlands retraction

Vladimir Drinfeld

arxiv:1301.1940 v1 · 2013-01-09 · math.RT · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWGEXUAMJOHJOP6B3T27FDTXOF}

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.

Cited by

1 paper in Pith

Langlands Duality and Invariant Differential Operators

Receipt and verification

First computed	2026-05-18T03:36:55.610869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d8c4bd00c4b8e973fc1dcf5f28e7771445c9bd6a59e41b16ad91d3dea722f3f

Aliases

arxiv: 1301.1940 · arxiv_version: 1301.1940v1 · doi: 10.48550/arxiv.1301.1940 · pith_short_12: LWGEXUAMJOHJ · pith_short_16: LWGEXUAMJOHJOP6B · pith_short_8: LWGEXUAM

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/LWGEXUAMJOHJOP6B3T27FDTXOF \
  | 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: 5d8c4bd00c4b8e973fc1dcf5f28e7771445c9bd6a59e41b16ad91d3dea722f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92ef5d77090a195cc6fccb9111cbb9fb82c0ba8b0cedc33c6854d360af85d800",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-01-09T18:25:39Z",
    "title_canon_sha256": "ef78bb4b2ddc3efbbadd3c4f9c8db7487b3b27780317b31774ee90f5aa27ccfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1940",
    "kind": "arxiv",
    "version": 1
  }
}