Pith Number

pith:NB7K7WFF

pith:2014:NB7K7WFF6S4ZLLKG6G3HUC4MPA

not attested not anchored not stored refs pending

On the unsplittable minimal zero-sum sequences over finite cyclic groups of prime order

Fang Sun, Jiangtao Peng

arxiv:1409.1970 v1 · 2014-09-06 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NB7K7WFF6S4ZLLKG6G3HUC4MPA}

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	2026-05-18T02:43:18.288528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

687eafd8a5f4b995ad46f1b67a0b8c783dd4003891f38444a1dc3d37bfa2bade

Aliases

arxiv: 1409.1970 · arxiv_version: 1409.1970v1 · doi: 10.48550/arxiv.1409.1970 · pith_short_12: NB7K7WFF6S4Z · pith_short_16: NB7K7WFF6S4ZLLKG · pith_short_8: NB7K7WFF

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/NB7K7WFF6S4ZLLKG6G3HUC4MPA \
  | 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: 687eafd8a5f4b995ad46f1b67a0b8c783dd4003891f38444a1dc3d37bfa2bade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ab66d7f17e500361fa9711de2a5b44d4783571adb748cb45ec324a86d869056",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-09-06T01:20:47Z",
    "title_canon_sha256": "98420c3f9319fdefa3aba8f8f9f23046ae840c6abb64143cd52274e2d4f9d0e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1970",
    "kind": "arxiv",
    "version": 1
  }
}