Pith Number

pith:O4MDQR65

pith:2014:O4MDQR657QIPREMKY2E7NZ5OOI

not attested not anchored not stored refs pending

Evaluating Binomial Character Sums Modulo Powers of Two

Chris Pinner, Joe Sheppard, Vincent Pigno

arxiv:1403.3081 v1 · 2014-03-12 · 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{O4MDQR657QIPREMKY2E7NZ5OOI}

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	2026-05-18T02:56:33.190136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77183847ddfc10f8918ac689f6e7ae7208c1aac280d7beca56ef9ceb579eb617

Aliases

arxiv: 1403.3081 · arxiv_version: 1403.3081v1 · doi: 10.48550/arxiv.1403.3081 · pith_short_12: O4MDQR657QIP · pith_short_16: O4MDQR657QIPREMK · pith_short_8: O4MDQR65

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/O4MDQR657QIPREMKY2E7NZ5OOI \
  | 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: 77183847ddfc10f8918ac689f6e7ae7208c1aac280d7beca56ef9ceb579eb617

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa8d12d18b17da5cf9414d674016507e0602978aee7ef7c9fd093f936fbe3f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-03-12T19:56:50Z",
    "title_canon_sha256": "70d38ac817dc5213260d2139477be3e133af0a9952d35977c7da2a22582657ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.3081",
    "kind": "arxiv",
    "version": 1
  }
}