Pith Number

pith:W3TLAF3H

pith:2024:W3TLAF3H6QPOFXHATRKHCYXL3L

not attested not anchored not stored refs pending

Problems and results on determinants involving Legendre symbols

Zhi-Wei Sun

arxiv:2405.03626 v8 · 2024-05-06 · 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{W3TLAF3H6QPOFXHATRKHCYXL3L}

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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.

Cited by

3 papers in Pith

Some new results on determinants and permanents

Two determinant evaluations in Sun's conjectures involving Legendre symbols

Receipt and verification

First computed	2026-07-05T08:49:34.134587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6e6b01767f41ee2dce09c547162ebdad25b68723ff5a813c3fd0914c989ba3f

Aliases

arxiv: 2405.03626 · arxiv_version: 2405.03626v8 · doi: 10.48550/arxiv.2405.03626 · pith_short_12: W3TLAF3H6QPO · pith_short_16: W3TLAF3H6QPOFXHA · pith_short_8: W3TLAF3H

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/W3TLAF3H6QPOFXHATRKHCYXL3L \
  | 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: b6e6b01767f41ee2dce09c547162ebdad25b68723ff5a813c3fd0914c989ba3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fb2ec16fc879ce59750ee60ee5764ed8e6e4010352fe49fef0e870cae1671b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-05-06T16:45:01Z",
    "title_canon_sha256": "cd78024cf6d399c56bbd7cc01907793d1cc494d755716f6cc1805970f6ee62a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.03626",
    "kind": "arxiv",
    "version": 8
  }
}