Pith Number

pith:SPCPFB65

pith:2017:SPCPFB65FEWM3FMQUTBJ6IOHRJ

not attested not anchored not stored refs pending

On Cubic Residue Matrices

Jeff Rushall, Pauline Gonzalez, Ryan Wood

arxiv:1711.03452 v1 · 2017-11-09 · 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{SPCPFB65FEWM3FMQUTBJ6IOHRJ}

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	2026-05-18T00:30:56.048058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c4f287dd292ccd9590a4c29f21c78a469797e1c7e4ed752a02316f7597b302

Aliases

arxiv: 1711.03452 · arxiv_version: 1711.03452v1 · doi: 10.48550/arxiv.1711.03452 · pith_short_12: SPCPFB65FEWM · pith_short_16: SPCPFB65FEWM3FMQ · pith_short_8: SPCPFB65

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/SPCPFB65FEWM3FMQUTBJ6IOHRJ \
  | 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: 93c4f287dd292ccd9590a4c29f21c78a469797e1c7e4ed752a02316f7597b302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23df49fed605905f7dacda2cfad69608b5d2e3d14f973317b8f28f5acbef61b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-09T16:19:38Z",
    "title_canon_sha256": "e80c8123312faad07c8bf856baa6555f24cb9337786d8d1ed37e6ef092c1ac2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03452",
    "kind": "arxiv",
    "version": 1
  }
}