Pith Number

pith:XO26BU3C

pith:2014:XO26BU3CVGD5O43TUTZPSYYCRL

not attested not anchored not stored refs pending

Minimal zero-sum sequence of length five over finite cyclic groups of prime power order

Jiangtao Peng, Li-meng Xia, Yuanlin Li

arxiv:1402.0221 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{XO26BU3CVGD5O43TUTZPSYYCRL}

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	2026-05-18T03:00:24.282962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb5e0d362a987d77373a4f2f963028af3ebf740cfb2175d17b7ee5d53c8ff0b

Aliases

arxiv: 1402.0221 · arxiv_version: 1402.0221v1 · doi: 10.48550/arxiv.1402.0221 · pith_short_12: XO26BU3CVGD5 · pith_short_16: XO26BU3CVGD5O43T · pith_short_8: XO26BU3C

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/XO26BU3CVGD5O43TUTZPSYYCRL \
  | 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: bbb5e0d362a987d77373a4f2f963028af3ebf740cfb2175d17b7ee5d53c8ff0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9dd236fbbcd1ac65ac1ee309a58443903c3fc34165fcd005ca6db1a4e0f48fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-02-02T17:36:07Z",
    "title_canon_sha256": "f3e24a7f2d5627418a7b2ba0350a2fafefb8d01fc3d7181b171d9b468d1fa0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0221",
    "kind": "arxiv",
    "version": 1
  }
}