Pith Number

pith:PUDECTBJ

pith:2016:PUDECTBJPVDHAPVTVQ47KPHQY6

not attested not anchored not stored refs pending

Avoiding zero-sum subsequences of prescribed length over the integers

C. Augspurger, K. Shoukry, K. Voss, M. Minter, P. Sissokho

arxiv:1603.03978 v3 · 2016-03-13 · 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{PUDECTBJPVDHAPVTVQ47KPHQY6}

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.

Cited by

1 paper in Pith

On small balanceable, strongly-balanceable and omnitonal graphs

Receipt and verification

First computed	2026-05-18T00:56:06.412673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d06414c297d46703eb3ac39f53cf0c7a54ee8ccf7f3b660e5b0304d3672c926

Aliases

arxiv: 1603.03978 · arxiv_version: 1603.03978v3 · doi: 10.48550/arxiv.1603.03978 · pith_short_12: PUDECTBJPVDH · pith_short_16: PUDECTBJPVDHAPVT · pith_short_8: PUDECTBJ

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/PUDECTBJPVDHAPVTVQ47KPHQY6 \
  | 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: 7d06414c297d46703eb3ac39f53cf0c7a54ee8ccf7f3b660e5b0304d3672c926

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a193e44f522336d3eb5fd9723a7cabbbfb1079518761539ff74ff13940872fcf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-13T01:02:31Z",
    "title_canon_sha256": "f6fb5811c750c6af64e91c2b3d3c6ba7cc21ff45ac29bc1bfe24eba6b34a331d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03978",
    "kind": "arxiv",
    "version": 3
  }
}