Pith Number

pith:3BVK6QLZ

pith:2009:3BVK6QLZNDJ4RADUTVHALR6CZL

not attested not anchored not stored refs pending

Geometric level raising for p-adic automorphic forms

James Newton

arxiv:0903.3541 v4 · 2009-03-20 · 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{3BVK6QLZNDJ4RADUTVHALR6CZL}

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	2026-05-18T04:18:53.436311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d86aaf417968d3c880749d4e05c7c2cae6feb22c333be090aac2e032f54b8329

Aliases

arxiv: 0903.3541 · arxiv_version: 0903.3541v4 · doi: 10.48550/arxiv.0903.3541 · pith_short_12: 3BVK6QLZNDJ4 · pith_short_16: 3BVK6QLZNDJ4RADU · pith_short_8: 3BVK6QLZ

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/3BVK6QLZNDJ4RADUTVHALR6CZL \
  | 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: d86aaf417968d3c880749d4e05c7c2cae6feb22c333be090aac2e032f54b8329

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a73d08f4882693e2f1d61b9378ba0934f50ccad42fae02c7b0381331164daa1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-03-20T15:32:07Z",
    "title_canon_sha256": "0fff68773fd22e173fb3bce9edacad8678939aee77efb739bc24361094c294d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0903.3541",
    "kind": "arxiv",
    "version": 4
  }
}