Pith Number

pith:NONYUIUY

pith:2017:NONYUIUYZHUE5W6BJJTRO7RILZ

not attested not anchored not stored refs pending

Bounds for traces of Hecke operators and applications to modular and elliptic curves over a finite field

Ian Petrow

arxiv:1710.09869 v3 · 2017-10-26 · math.NT · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NONYUIUYZHUE5W6BJJTRO7RILZ}

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	2026-05-17T23:54:11.757791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b9b8a2298c9e84edbc14a67177e285e45debd45d5bad57c86f4e8f85a267387

Aliases

arxiv: 1710.09869 · arxiv_version: 1710.09869v3 · doi: 10.48550/arxiv.1710.09869 · pith_short_12: NONYUIUYZHUE · pith_short_16: NONYUIUYZHUE5W6B · pith_short_8: NONYUIUY

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/NONYUIUYZHUE5W6BJJTRO7RILZ \
  | 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: 6b9b8a2298c9e84edbc14a67177e285e45debd45d5bad57c86f4e8f85a267387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7262a6620b4044c0123bb35256b6a124dee48f61c63cd51da26a0a602ae98fc4",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-26T18:56:10Z",
    "title_canon_sha256": "a9e5720c87171494c87a1a4276fae3c49bcd80c55fc62cdc99f9c60f3d977106"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.09869",
    "kind": "arxiv",
    "version": 3
  }
}