Pith Number

pith:ETB2C74W

pith:2014:ETB2C74WV26ATV4XO47KUV7RAA

not attested not anchored not stored refs pending

Minimal zero-sum sequences of length four over cyclic group with order $n=p^\alpha q^\beta$

Caixia Shen, Li-meng Xia

arxiv:1401.8021 v1 · 2014-01-30 · 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{ETB2C74WV26ATV4XO47KUV7RAA}

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	2026-05-18T03:00:36.464520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24c3a17f96aebc09d797773eaa57f1002199dc8a31a6ff053b6fff47e2495a45

Aliases

arxiv: 1401.8021 · arxiv_version: 1401.8021v1 · doi: 10.48550/arxiv.1401.8021 · pith_short_12: ETB2C74WV26A · pith_short_16: ETB2C74WV26ATV4X · pith_short_8: ETB2C74W

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/ETB2C74WV26ATV4XO47KUV7RAA \
  | 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: 24c3a17f96aebc09d797773eaa57f1002199dc8a31a6ff053b6fff47e2495a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02b9530cb755631be42772f47122116a82552c6e504bcf0edea6959fe3855e59",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-01-30T23:09:22Z",
    "title_canon_sha256": "72f3cf297dcd1e28743468b109795560f05591fc3fa871b54756b0b1f7eb7799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.8021",
    "kind": "arxiv",
    "version": 1
  }
}