Pith Number

pith:LL6ZVOJQ

pith:2013:LL6ZVOJQYB5SYJROXA3MGI3IZB

not attested not anchored not stored refs pending

Rational Quartic Reciprocity II

Franz Lemmermeyer

arxiv:1310.6597 v1 · 2013-10-24 · 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{LL6ZVOJQYB5SYJROXA3MGI3IZB}

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	2026-05-18T03:09:08.996433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5afd9ab930c07b2c262eb836c32368c8415a53f49b33fc81bb532b93ea272220

Aliases

arxiv: 1310.6597 · arxiv_version: 1310.6597v1 · doi: 10.48550/arxiv.1310.6597 · pith_short_12: LL6ZVOJQYB5S · pith_short_16: LL6ZVOJQYB5SYJRO · pith_short_8: LL6ZVOJQ

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/LL6ZVOJQYB5SYJROXA3MGI3IZB \
  | 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: 5afd9ab930c07b2c262eb836c32368c8415a53f49b33fc81bb532b93ea272220

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd697583194ecb1ae1b06b42b3b016522337c546014a2684cd528feef4d85dad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-24T13:11:09Z",
    "title_canon_sha256": "fcf7423527b58d7752e912827b86f1377823b920b1426bc18e545718c6a3e00e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6597",
    "kind": "arxiv",
    "version": 1
  }
}