Pith Number

pith:FMDFVWSA

pith:2015:FMDFVWSAJIJM275WBTFH7VWASM

not attested not anchored not stored refs pending

Characterizations of quadratic, cubic, and quartic residue matrices

David S. Dummit, Evan P. Dummit, Hershy Kisilevsky

arxiv:1512.06480 v1 · 2015-12-21 · 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{FMDFVWSAJIJM275WBTFH7VWASM}

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	2026-05-18T01:24:00.445979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b065ada404a12cd7fb60cca7fd6c0932bf61093f1253b308ebc579879a06932

Aliases

arxiv: 1512.06480 · arxiv_version: 1512.06480v1 · doi: 10.48550/arxiv.1512.06480 · pith_short_12: FMDFVWSAJIJM · pith_short_16: FMDFVWSAJIJM275W · pith_short_8: FMDFVWSA

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/FMDFVWSAJIJM275WBTFH7VWASM \
  | 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: 2b065ada404a12cd7fb60cca7fd6c0932bf61093f1253b308ebc579879a06932

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a7a28def8b32379279e5668f260bb0f19cb4e866b9cba46750c40bf89bf9f1b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-21T03:10:40Z",
    "title_canon_sha256": "36ecdf2db867674dfc4181ccadcbc07eb65dda3373120c2c371cd3e81e0eec02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06480",
    "kind": "arxiv",
    "version": 1
  }
}