Pith Number

pith:3Y4QZCDU

pith:2018:3Y4QZCDUS37GPY5U5ASSNWIKNV

not attested not anchored not stored refs pending

Change of coefficients in the $p \neq \ell$ local Langlands correspondence for $GL_n$

Tibor Backhausz

arxiv:1812.04208 v1 · 2018-12-11 · math.NT · 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{3Y4QZCDUS37GPY5U5ASSNWIKNV}

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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	2026-05-17T23:58:35.213622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de390c887496fe67e3b4e82526d90a6d42175ae56a5b6f8ee7f91d8d47703aef

Aliases

arxiv: 1812.04208 · arxiv_version: 1812.04208v1 · doi: 10.48550/arxiv.1812.04208 · pith_short_12: 3Y4QZCDUS37G · pith_short_16: 3Y4QZCDUS37GPY5U · pith_short_8: 3Y4QZCDU

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/3Y4QZCDUS37GPY5U5ASSNWIKNV \
  | 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: de390c887496fe67e3b4e82526d90a6d42175ae56a5b6f8ee7f91d8d47703aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdef73cbde7e1dfc21bb4d56f5dfa5a10b84b80624914ce382bc1aa86cec8af2",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-11T03:42:18Z",
    "title_canon_sha256": "ec3066fcd86cb746ca357ee13bcf6348446b038dd5759b8a1fcaa27a6770a00c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.04208",
    "kind": "arxiv",
    "version": 1
  }
}