Pith Number

pith:F5ZHRZC6

pith:2017:F5ZHRZC64WTVO4P5Z7QMZTQOOT

not attested not anchored not stored refs pending

Black Box Galois Representations

Alejandro Arg\'aez-Garc\'ia, John Cremona

arxiv:1709.06430 v5 · 2017-09-19 · 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{F5ZHRZC64WTVO4P5Z7QMZTQOOT}

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	2026-05-18T00:14:34.444514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7278e45ee5a75771fdcfe0ccce0e74c73e457ff4ab5005c37302b203c7e9c4

Aliases

arxiv: 1709.06430 · arxiv_version: 1709.06430v5 · doi: 10.48550/arxiv.1709.06430 · pith_short_12: F5ZHRZC64WTV · pith_short_16: F5ZHRZC64WTVO4P5 · pith_short_8: F5ZHRZC6

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/F5ZHRZC64WTVO4P5Z7QMZTQOOT \
  | 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: 2f7278e45ee5a75771fdcfe0ccce0e74c73e457ff4ab5005c37302b203c7e9c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c826809bc0795b1ac0d96c3feab83908d38e44399662c87b8684bd92b89673b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-19T13:52:54Z",
    "title_canon_sha256": "3d8d51a8bdea1f7cfb8b3f825513f95ebde34bf4a356792b61debc8197a47df3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06430",
    "kind": "arxiv",
    "version": 5
  }
}