pith. sign in
Pith Number

pith:SAKMRFSF

pith:2016:SAKMRFSFDULLYWEVPQFG5PQWF3
not attested not anchored not stored refs pending

An explicit Waldspurger formula for Hilbert modular forms

Gonzalo Tornar\'ia, Nicol\'as Sirolli

arxiv:1603.03753 v2 · 2016-03-11 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SAKMRFSFDULLYWEVPQFG5PQWF3}

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 2026-05-18T00:10:57.374213Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9014c896451d16bc58957c0a6ebe162edb14db4a3775809c50d18e01421f9be0

Aliases

arxiv: 1603.03753 · arxiv_version: 1603.03753v2 · doi: 10.48550/arxiv.1603.03753 · pith_short_12: SAKMRFSFDULL · pith_short_16: SAKMRFSFDULLYWEV · pith_short_8: SAKMRFSF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SAKMRFSFDULLYWEVPQFG5PQWF3 \
  | 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: 9014c896451d16bc58957c0a6ebe162edb14db4a3775809c50d18e01421f9be0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "25e5f49f16a6c59e0f028311629d9e8ed632c46a9a09ae66b899f80ab984b151",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-11T20:39:03Z",
    "title_canon_sha256": "fb656ef90616518b1ad4407dffda1e9720fa2ef2d7799c869abbf5c5036f5edc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03753",
    "kind": "arxiv",
    "version": 2
  }
}