Pith Number

pith:5M42IXO2

pith:2019:5M42IXO2TTHYVG4KO6I52UDV72

not attested not anchored not stored refs pending

Efficient computation of the Jacobi symbol

Niels M\"oller

arxiv:1907.07795 v1 · 2019-07-17 · cs.DS · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5M42IXO2TTHYVG4KO6I52UDV72}

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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	2026-05-17T23:40:16.299072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb39a45dda9ccf8a9b8a7791dd5075feb130f285261acf3ba9646eb60cecae51

Aliases

arxiv: 1907.07795 · arxiv_version: 1907.07795v1 · doi: 10.48550/arxiv.1907.07795 · pith_short_12: 5M42IXO2TTHY · pith_short_16: 5M42IXO2TTHYVG4K · pith_short_8: 5M42IXO2

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/5M42IXO2TTHYVG4KO6I52UDV72 \
  | 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: eb39a45dda9ccf8a9b8a7791dd5075feb130f285261acf3ba9646eb60cecae51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3fdf8c625e0065b446398b7bc7c298e75b10624d1993eca29ade0f8241b0444d",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2019-07-17T22:11:22Z",
    "title_canon_sha256": "5a372f471a9bfcf73e3c5824af16f87969c82b891367c1706aa7e830a2bd27e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07795",
    "kind": "arxiv",
    "version": 1
  }
}