Pith Number

pith:FCCD3FP7

pith:2021:FCCD3FP7ICCM3JXDYHSNHZ3RYC

not attested not anchored not stored refs pending

Eisenstein cohomology classes for $\mathrm{GL}_N$ over imaginary quadratic fields

Luis E. Garcia, Nicolas Bergeron, Pierre Charollois

arxiv:2107.01992 v2 · 2021-07-05 · 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{FCCD3FP7ICCM3JXDYHSNHZ3RYC}

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	2026-07-05T05:22:26.787041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28843d95ff4084cda6e3c1e4d3e771c08645607fa4176c0ce974d07f6cf670f1

Aliases

arxiv: 2107.01992 · arxiv_version: 2107.01992v2 · doi: 10.48550/arxiv.2107.01992 · pith_short_12: FCCD3FP7ICCM · pith_short_16: FCCD3FP7ICCM3JXD · pith_short_8: FCCD3FP7

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/FCCD3FP7ICCM3JXDYHSNHZ3RYC \
  | 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: 28843d95ff4084cda6e3c1e4d3e771c08645607fa4176c0ce974d07f6cf670f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "621dc75e6f7dedebf40c94f8260f2bb6a92d216baa0103fc09cc7a341f9d784e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-07-05T13:07:23Z",
    "title_canon_sha256": "d8555bfd65d46625fed00b361ee4c7f922add18cc90450e9bb4a0874234a5133"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01992",
    "kind": "arxiv",
    "version": 2
  }
}