Pith Number

pith:QPHPLVWR

pith:2017:QPHPLVWRVQJ5MGIGUPLODHQTJU

not attested not anchored not stored refs pending

Derived Hecke algebra for weight one forms

Akshay Venkatesh, Michael Harris

arxiv:1706.03417 v1 · 2017-06-11 · 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{QPHPLVWRVQJ5MGIGUPLODHQTJU}

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	2026-05-18T00:42:35.732102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83cef5d6d1ac13d61906a3d6e19e134d1f65d166eee6db10b152c77ebdc3d158

Aliases

arxiv: 1706.03417 · arxiv_version: 1706.03417v1 · doi: 10.48550/arxiv.1706.03417 · pith_short_12: QPHPLVWRVQJ5 · pith_short_16: QPHPLVWRVQJ5MGIG · pith_short_8: QPHPLVWR

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/QPHPLVWRVQJ5MGIGUPLODHQTJU \
  | 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: 83cef5d6d1ac13d61906a3d6e19e134d1f65d166eee6db10b152c77ebdc3d158

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9928316f5933e83d36729872888988c98582881488939d531f17b04bd67cdf1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-11T22:52:46Z",
    "title_canon_sha256": "ee46e44aefc0a54994c80ac23ee67fb1c9e987c01de4badebea5ae40edcef5c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03417",
    "kind": "arxiv",
    "version": 1
  }
}