Pith Number

pith:MVFVKA22

pith:2014:MVFVKA22XXZATY5BAADVGSBNFU

not attested not anchored not stored refs pending

On the index of length four minimal zero-sum sequences

Caixia Shen, Li-meng Xia, Yuanlin Li

arxiv:1402.0219 v1 · 2014-02-02 · 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{MVFVKA22XXZATY5BAADVGSBNFU}

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	2026-05-18T03:00:24.292603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

654b55035abdf209e3a1000753482d2d1947e9d6caf11bd3037305c481df2883

Aliases

arxiv: 1402.0219 · arxiv_version: 1402.0219v1 · doi: 10.48550/arxiv.1402.0219 · pith_short_12: MVFVKA22XXZA · pith_short_16: MVFVKA22XXZATY5B · pith_short_8: MVFVKA22

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/MVFVKA22XXZATY5BAADVGSBNFU \
  | 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: 654b55035abdf209e3a1000753482d2d1947e9d6caf11bd3037305c481df2883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8c0d9b3d68faab60e2d6515e2b5f12662076ab124832e0adc4ed66ab1e8fc94",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-02T17:32:56Z",
    "title_canon_sha256": "2dbe9e4b03abaa26b7509d97488122b928bab80a2e0e2981d5d951a0fa9698f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0219",
    "kind": "arxiv",
    "version": 1
  }
}