Pith Number

pith:4X2N7BH2

pith:2016:4X2N7BH22B5GIK3533DTH6456Z

not attested not anchored not stored refs pending

Deformations of Galois representations and exceptional monodromy, II: raising the level

Stefan Patrikis

arxiv:1604.05822 v2 · 2016-04-20 · 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{4X2N7BH22B5GIK3533DTH6456Z}

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	2026-05-18T01:16:29.025453Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f4df84fad07a642b7ddec733fb9df669f7b64b8b14e23cae1073b6061ab2ea

Aliases

arxiv: 1604.05822 · arxiv_version: 1604.05822v2 · doi: 10.48550/arxiv.1604.05822 · pith_short_12: 4X2N7BH22B5G · pith_short_16: 4X2N7BH22B5GIK35 · pith_short_8: 4X2N7BH2

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/4X2N7BH22B5GIK3533DTH6456Z \
  | 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: e5f4df84fad07a642b7ddec733fb9df669f7b64b8b14e23cae1073b6061ab2ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f67ff194d4826eab2962b7098aefd5a27251208a9fa53d0da1aebeb3b07d908",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-04-20T05:30:51Z",
    "title_canon_sha256": "d49548510480e2c3b56b87c334697b6ca58747538257df1f9f2ca5687f0445ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.05822",
    "kind": "arxiv",
    "version": 2
  }
}