Pith Number

pith:PHV7C6HY

pith:2017:PHV7C6HYJ6WBE4R5AY3IU2QOFZ

not attested not anchored not stored refs pending

Finite monodromy of some families of exponential sums

Antonio Rojas-Leon

arxiv:1711.01584 v2 · 2017-11-05 · 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{PHV7C6HYJ6WBE4R5AY3IU2QOFZ}

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	2026-05-18T00:23:16.459983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79ebf178f84fac12723d06368a6a0e2e5624e9e9b798177222900edae0e38431

Aliases

arxiv: 1711.01584 · arxiv_version: 1711.01584v2 · doi: 10.48550/arxiv.1711.01584 · pith_short_12: PHV7C6HYJ6WB · pith_short_16: PHV7C6HYJ6WBE4R5 · pith_short_8: PHV7C6HY

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/PHV7C6HYJ6WBE4R5AY3IU2QOFZ \
  | 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: 79ebf178f84fac12723d06368a6a0e2e5624e9e9b798177222900edae0e38431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c87709bf9088a9fa3d9d230d1dc910b0f56091ba66c9d497f200ba9808edbf53",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-05T13:26:19Z",
    "title_canon_sha256": "d814015d278c28b884f7546f8d7d1b2d74b94fed06f575bd400fa43a58c3ac2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.01584",
    "kind": "arxiv",
    "version": 2
  }
}