Pith Number

pith:U4Q4W2W5

pith:2016:U4Q4W2W5ZBZPY6DRNQXKWKUV6R

not attested not anchored not stored refs pending

Mod p Base Change transfer for GL(2)

Andrew Jones, Mehmet Haluk Sengun

arxiv:1611.06491 v3 · 2016-11-20 · math.NT · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4Q4W2W5ZBZPY6DRNQXKWKUV6R}

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	2026-05-18T00:09:31.491999Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a721cb6addc872fc78716c2eab2a95f46d0dec15d68d41589947b3da267b6766

Aliases

arxiv: 1611.06491 · arxiv_version: 1611.06491v3 · doi: 10.48550/arxiv.1611.06491 · pith_short_12: U4Q4W2W5ZBZP · pith_short_16: U4Q4W2W5ZBZPY6DR · pith_short_8: U4Q4W2W5

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/U4Q4W2W5ZBZPY6DRNQXKWKUV6R \
  | 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: a721cb6addc872fc78716c2eab2a95f46d0dec15d68d41589947b3da267b6766

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f30cc33e66c4139f2bcc652dbe7d78101451ddc9e2b2a2d1f960f7f4ae28556",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-20T09:45:36Z",
    "title_canon_sha256": "8d9ad6f234cfdc62c1cba301feb99a7a565047adf1ff71e595cae6707b5ef1f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.06491",
    "kind": "arxiv",
    "version": 3
  }
}