Pith Number

pith:VSMHXLTL

pith:2011:VSMHXLTLSYTKIIEK5DP5Q45FQN

not attested not anchored not stored refs pending

Additive decompositions induced by multiplicative characters over finite fields

Davide Schipani, Michele Elia

arxiv:1107.1364 v1 · 2011-07-07 · 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{VSMHXLTLSYTKIIEK5DP5Q45FQN}

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	2026-05-18T04:18:44.136974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac987bae6b9626a4208ae8dfd873a5837bf4ef1ec72259f73dd0bb31f6d6ae20

Aliases

arxiv: 1107.1364 · arxiv_version: 1107.1364v1 · doi: 10.48550/arxiv.1107.1364 · pith_short_12: VSMHXLTLSYTK · pith_short_16: VSMHXLTLSYTKIIEK · pith_short_8: VSMHXLTL

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/VSMHXLTLSYTKIIEK5DP5Q45FQN \
  | 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: ac987bae6b9626a4208ae8dfd873a5837bf4ef1ec72259f73dd0bb31f6d6ae20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f31bbf3122124d72d0e75f23a3bdac29a9aa0e0f0234409e33fcfbff42a99e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-07-07T12:29:53Z",
    "title_canon_sha256": "8be9fd9d3cb3b8a07e2a3eacb6963e9d0ac2221f0fd5fdff67aa5dc5856f4ffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1364",
    "kind": "arxiv",
    "version": 1
  }
}