Pith Number

pith:HED7SE63

pith:2018:HED7SE63IZMP32AFXJQ6ZDDPIP

not attested not anchored not stored refs pending

On some determinants involving Jacobi symbols

Dmitry Krachun, Fedor Petrov, Maxim Vsemirnov, Zhi-Wei Sun

arxiv:1812.08080 v5 · 2018-12-19 · 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{HED7SE63IZMP32AFXJQ6ZDDPIP}

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	2026-07-05T00:49:35.215828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3907f913db4658fde805ba61ec8c6f43ce0ef214f51eeb3dac2a70b10b041e16

Aliases

arxiv: 1812.08080 · arxiv_version: 1812.08080v5 · doi: 10.48550/arxiv.1812.08080 · pith_short_12: HED7SE63IZMP · pith_short_16: HED7SE63IZMP32AF · pith_short_8: HED7SE63

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/HED7SE63IZMP32AFXJQ6ZDDPIP \
  | 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: 3907f913db4658fde805ba61ec8c6f43ce0ef214f51eeb3dac2a70b10b041e16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8998fed5428d9b6e9a4bd0cefd83d11878cf25a505c792afec79fbbf20c66379",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-19T16:54:15Z",
    "title_canon_sha256": "157ef297b015be3d86bdddb11a73bf752a2a7493d93daa8ebdb2071d6a7982cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08080",
    "kind": "arxiv",
    "version": 5
  }
}