Pith Number

pith:GXUS75OD

pith:2014:GXUS75ODGNNLDPILKDCJQAUO4E

not attested not anchored not stored refs pending

Images of adelic Galois representations for modular forms

David Loeffler

arxiv:1411.1789 v2 · 2014-11-06 · 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{GXUS75ODGNNLDPILKDCJQAUO4E}

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	2026-05-18T00:56:06.656971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35e92ff5c3335ab1bd0b50c498028ee128db4898e5609fccf2fe1f41e9460c56

Aliases

arxiv: 1411.1789 · arxiv_version: 1411.1789v2 · doi: 10.48550/arxiv.1411.1789 · pith_short_12: GXUS75ODGNNL · pith_short_16: GXUS75ODGNNLDPIL · pith_short_8: GXUS75OD

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/GXUS75ODGNNLDPILKDCJQAUO4E \
  | 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: 35e92ff5c3335ab1bd0b50c498028ee128db4898e5609fccf2fe1f41e9460c56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a068b74d385eb9e81fa6217af55dcd92de27dd48a75898280fa257ab3bad998",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-06T22:57:52Z",
    "title_canon_sha256": "af59fd5c2082be529b1f152c9670f158fe92bc1ad00aa7bdc2c32887827eb5cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1789",
    "kind": "arxiv",
    "version": 2
  }
}