Pith Number

pith:FCI2GO2C

pith:2012:FCI2GO2CUZKLBS32B3BFXK5SER

not attested not anchored not stored refs pending

Congruences for Convolutions of Hilbert Modular Forms

Thomas Ward

arxiv:1201.4341 v1 · 2012-01-20 · 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{FCI2GO2CUZKLBS32B3BFXK5SER}

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	2026-05-18T01:58:44.260424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2891a33b42a654b0cb7a0ec25babb22462bf5ec3dc6b30518b73d82cf9d7d78f

Aliases

arxiv: 1201.4341 · arxiv_version: 1201.4341v1 · doi: 10.48550/arxiv.1201.4341 · pith_short_12: FCI2GO2CUZKL · pith_short_16: FCI2GO2CUZKLBS32 · pith_short_8: FCI2GO2C

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/FCI2GO2CUZKLBS32B3BFXK5SER \
  | 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: 2891a33b42a654b0cb7a0ec25babb22462bf5ec3dc6b30518b73d82cf9d7d78f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "445ab23bba45756e369006b4a88a7641e2c9891339a4f22109cdf62b5be56684",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-20T17:08:34Z",
    "title_canon_sha256": "bf4a7d80fef72968e3baaef8335e9cbb0cd556d4741f1169c8ea830c4ae232e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4341",
    "kind": "arxiv",
    "version": 1
  }
}