Pith Number

pith:HYNM73PF

pith:2014:HYNM73PF3XZ3V7X6BZOSK4GDKE

not attested not anchored not stored refs pending

Generalized Kuga-Satake theory and rigid local systems, I: the middle convolution

Stefan Patrikis

arxiv:1407.1942 v1 · 2014-07-08 · 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{HYNM73PF3XZ3V7X6BZOSK4GDKE}

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	2026-05-18T02:48:08.821490Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e1acfede5ddf3bafefe0e5d2570c351025678b9d3fbc379535c6cf6dbd62045

Aliases

arxiv: 1407.1942 · arxiv_version: 1407.1942v1 · doi: 10.48550/arxiv.1407.1942 · pith_short_12: HYNM73PF3XZ3 · pith_short_16: HYNM73PF3XZ3V7X6 · pith_short_8: HYNM73PF

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/HYNM73PF3XZ3V7X6BZOSK4GDKE \
  | 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: 3e1acfede5ddf3bafefe0e5d2570c351025678b9d3fbc379535c6cf6dbd62045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b091cf403255d47713be0cbfa9317ff2139b7b70d1fb6848fcf87550e43c190a",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-08T03:32:45Z",
    "title_canon_sha256": "7ee1ae9b810e1b529902bda0c689f7f0903fe0476b5843afc8041753d1fb43e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.1942",
    "kind": "arxiv",
    "version": 1
  }
}