Pith Number

pith:UAO3BSJ7

pith:2009:UAO3BSJ7UQ5A366TCIAU3ZOQMP

not attested not anchored not stored refs pending

A note on the sign (unit root) ambiguities of Gauss sums in index 2 and 4 cases

Jing Yang, Lingli Xia

arxiv:0912.1414 v1 · 2009-12-08 · 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{UAO3BSJ7UQ5A366TCIAU3ZOQMP}

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	2026-05-18T03:36:46.944083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a01db0c93fa43a0dfbd312014de5d063f0d2325c619d1f4e319ef0dd8be087e8

Aliases

arxiv: 0912.1414 · arxiv_version: 0912.1414v1 · doi: 10.48550/arxiv.0912.1414 · pith_short_12: UAO3BSJ7UQ5A · pith_short_16: UAO3BSJ7UQ5A366T · pith_short_8: UAO3BSJ7

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/UAO3BSJ7UQ5A366TCIAU3ZOQMP \
  | 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: a01db0c93fa43a0dfbd312014de5d063f0d2325c619d1f4e319ef0dd8be087e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cedd0302f5ffc9b10109f3611700467eaddfe722ae70ff4a4a3beef656fb0958",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-12-08T06:54:11Z",
    "title_canon_sha256": "1bc056e37a07c58690d91d6980793a31cd8e57a6e4ec1ed94fd83abe9f9223ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1414",
    "kind": "arxiv",
    "version": 1
  }
}