Pith Number

pith:CEDXOSQN

pith:2016:CEDXOSQNRV3M4UK5SQ3TWBNIEM

not attested not anchored not stored refs pending

Zero-sum subsequences in bounded-sum $\{-1, 1\}$-sequences

Adriana Hansberg, Amanda Montejano, Yair Caro

arxiv:1612.06523 v1 · 2016-12-20 · math.CO · 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{CEDXOSQNRV3M4UK5SQ3TWBNIEM}

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	2026-05-18T00:54:25.533990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1107774a0d8d76ce515d94373b05a82314203ad385d9e12f30f4ebab17105984

Aliases

arxiv: 1612.06523 · arxiv_version: 1612.06523v1 · doi: 10.48550/arxiv.1612.06523 · pith_short_12: CEDXOSQNRV3M · pith_short_16: CEDXOSQNRV3M4UK5 · pith_short_8: CEDXOSQN

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/CEDXOSQNRV3M4UK5SQ3TWBNIEM \
  | 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: 1107774a0d8d76ce515d94373b05a82314203ad385d9e12f30f4ebab17105984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d627dbb5dace9182c7dd74cdecb41b940d42805b7e2f2553509fd65a968add01",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-20T06:35:53Z",
    "title_canon_sha256": "ae28686b7c04d449b1348ca2da4b1192fb35ae4264d4a44b184d9b1ca4a392b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06523",
    "kind": "arxiv",
    "version": 1
  }
}