Pith Number

pith:AYBXBC3W

pith:2017:AYBXBC3W7DY43AVIFNFNQ2P57F

not attested not anchored not stored refs pending

Large 2-adic Galois image and non-existence of certain abelian surfaces over Q

Armand Brumer, Kenneth Kramer

arxiv:1701.01890 v1 · 2017-01-07 · 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{AYBXBC3W7DY43AVIFNFNQ2P57F}

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	2026-05-18T00:53:13.185470Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0603708b76f8f1cd82a82b4ad869fdf96388da7b8df972065f0e4821481d5ef5

Aliases

arxiv: 1701.01890 · arxiv_version: 1701.01890v1 · doi: 10.48550/arxiv.1701.01890 · pith_short_12: AYBXBC3W7DY4 · pith_short_16: AYBXBC3W7DY43AVI · pith_short_8: AYBXBC3W

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/AYBXBC3W7DY43AVIFNFNQ2P57F \
  | 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: 0603708b76f8f1cd82a82b4ad869fdf96388da7b8df972065f0e4821481d5ef5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f286bc47b3f0fb11875a317c9e303c264c02ffdcd7176e4cdfa93d8244cf483d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-01-07T22:10:08Z",
    "title_canon_sha256": "7f9089c40c8dddce2555c2b3656fa9ea8fd49aa5d0824056964b118f2e88a1b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.01890",
    "kind": "arxiv",
    "version": 1
  }
}