Pith Number

pith:R5J3EHDN

pith:2011:R5J3EHDND6IGGYSSG7W75CRWHJ

not attested not anchored not stored refs pending

Central characters for smooth irreducible modular representations of GL_2(Q_p)

Laurent Berger

arxiv:1107.0555 v3 · 2011-07-04 · math.RT · 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{R5J3EHDND6IGGYSSG7W75CRWHJ}

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	2026-05-18T04:18:34.260437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f53b21c6d1f9063625237edfe8a363a486fed4f317dea56ec01a103351a3eec

Aliases

arxiv: 1107.0555 · arxiv_version: 1107.0555v3 · doi: 10.48550/arxiv.1107.0555 · pith_short_12: R5J3EHDND6IG · pith_short_16: R5J3EHDND6IGGYSS · pith_short_8: R5J3EHDN

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/R5J3EHDND6IGGYSSG7W75CRWHJ \
  | 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: 8f53b21c6d1f9063625237edfe8a363a486fed4f317dea56ec01a103351a3eec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81d400dd4e00c2a94213ae1144ee164358f93347711af27cf230ce522152e88d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-07-04T08:11:25Z",
    "title_canon_sha256": "aed8322abe4007fd068406a79de04f2aa94690c0b37c9f00ddf7c9c65e4e2903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0555",
    "kind": "arxiv",
    "version": 3
  }
}