Pith Number

pith:SH5HRPJZ

pith:2011:SH5HRPJZBNNSYYQLIV6TVJFJJU

not attested not anchored not stored refs pending

Non-abelian $p$-adic $L$-functions and Eisenstein series of unitary groups; the CM method

Thanasis Bouganis

arxiv:1107.1377 v2 · 2011-07-07 · 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{SH5HRPJZBNNSYYQLIV6TVJFJJU}

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	2026-05-18T04:16:01.351583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91fa78bd390b5b2c620b457d3aa4a94d24b45db508870758687e3004577df5d8

Aliases

arxiv: 1107.1377 · arxiv_version: 1107.1377v2 · doi: 10.48550/arxiv.1107.1377 · pith_short_12: SH5HRPJZBNNS · pith_short_16: SH5HRPJZBNNSYYQL · pith_short_8: SH5HRPJZ

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/SH5HRPJZBNNSYYQLIV6TVJFJJU \
  | 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: 91fa78bd390b5b2c620b457d3aa4a94d24b45db508870758687e3004577df5d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c987b97202d4238fd8f203e158226417f17fe4e0d907d73b52ba9041ca56f5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-07T13:23:24Z",
    "title_canon_sha256": "725a4f183a3d9cd75a2e22ba16279936e8d02396f1a2a42b3f1a876625c4b285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1377",
    "kind": "arxiv",
    "version": 2
  }
}