Pith Number

pith:TRMNWQFH

pith:2011:TRMNWQFHNUY5Y3BXXN72PWSZRW

not attested not anchored not stored refs pending

Gauss sums of cubic characters over $GF(p^r)$, $p$ odd

Davide Schipani, Michele Elia

arxiv:1101.3029 v3 · 2011-01-15 · 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{TRMNWQFHNUY5Y3BXXN72PWSZRW}

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	2026-05-18T04:08:03.824386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c58db40a76d31dc6c37bb7fa7da598d8447062af777e39aef08c4de1fa796e7

Aliases

arxiv: 1101.3029 · arxiv_version: 1101.3029v3 · doi: 10.48550/arxiv.1101.3029 · pith_short_12: TRMNWQFHNUY5 · pith_short_16: TRMNWQFHNUY5Y3BX · pith_short_8: TRMNWQFH

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/TRMNWQFHNUY5Y3BXXN72PWSZRW \
  | 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: 9c58db40a76d31dc6c37bb7fa7da598d8447062af777e39aef08c4de1fa796e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "132ece5dc55571938b6d827630d96f2441d8420e8165ffdbf790a9d105111fb2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-01-15T23:04:27Z",
    "title_canon_sha256": "4568e1d8e47ca7f4e73f1ccdef67e4e62c959761d70d1dd7b016ae8a320a8d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3029",
    "kind": "arxiv",
    "version": 3
  }
}