Pith Number

pith:63YRGEMO

pith:2015:63YRGEMOWUOPZ5XPSYVA74NUB3

not attested not anchored not stored refs pending

Deformations of Galois representations and exceptional monodromy

Stefan Patrikis

arxiv:1507.01294 v1 · 2015-07-05 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{63YRGEMOWUOPZ5XPSYVA74NUB3}

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	2026-05-18T01:08:21.142833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6f113118eb51cfcf6ef962a0ff1b40ee88b9ca4937508c71e8d81f3bf717f58

Aliases

arxiv: 1507.01294 · arxiv_version: 1507.01294v1 · doi: 10.48550/arxiv.1507.01294 · pith_short_12: 63YRGEMOWUOP · pith_short_16: 63YRGEMOWUOPZ5XP · pith_short_8: 63YRGEMO

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/63YRGEMOWUOPZ5XPSYVA74NUB3 \
  | 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: f6f113118eb51cfcf6ef962a0ff1b40ee88b9ca4937508c71e8d81f3bf717f58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1dc3a685080b26c7158e119dc0f06439ef66ef6bf2fa8debf97f15585da18b0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-05T23:12:33Z",
    "title_canon_sha256": "a04a90d9bbcf445a74e5431cbca7f462eeb01e2dbf027b92f3fb313965004487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01294",
    "kind": "arxiv",
    "version": 1
  }
}