Pith Number

pith:MIH5USYU

pith:2010:MIH5USYU4JGLAZYHNMN5JTUVVK

not attested not anchored not stored refs pending

Gauss Sums of the Cubic Character over $GF(2^m)$: an elementary derivation

Davide Schipani, Michele Elia

arxiv:1012.5320 v3 · 2010-12-23 · 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{MIH5USYU4JGLAZYHNMN5JTUVVK}

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	2026-05-18T04:23:12.931446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

620fda4b14e24cb067076b1bd4ce95aa97faa56fdcf889172915de47bf7dd3e0

Aliases

arxiv: 1012.5320 · arxiv_version: 1012.5320v3 · doi: 10.48550/arxiv.1012.5320 · pith_short_12: MIH5USYU4JGL · pith_short_16: MIH5USYU4JGLAZYH · pith_short_8: MIH5USYU

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/MIH5USYU4JGLAZYHNMN5JTUVVK \
  | 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: 620fda4b14e24cb067076b1bd4ce95aa97faa56fdcf889172915de47bf7dd3e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65643a08ed85e7d211b3f849733e3bcab3659ed1a7663ae0b36bc845f720f009",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-23T23:45:00Z",
    "title_canon_sha256": "5464fb677bf5e140b3a3e9d83446974ddd0de76fbf9d53136d5da8d32ad6c471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5320",
    "kind": "arxiv",
    "version": 3
  }
}