Pith Number

pith:HEUEREBF

pith:2013:HEUEREBFEUCPABNIZH5OIV2CHA

not attested not anchored not stored refs pending

A note on a sumset in $\mathbb{Z}_{2k}$

Octavio A. Agust\'in-Aquino

arxiv:1304.3650 v4 · 2013-04-12 · 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{HEUEREBFEUCPABNIZH5OIV2CHA}

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	2026-05-18T00:25:44.757443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39284890252504f005a8c9fae45742381f2ec73abe58e880c7031f2e7b3f7608

Aliases

arxiv: 1304.3650 · arxiv_version: 1304.3650v4 · doi: 10.48550/arxiv.1304.3650 · pith_short_12: HEUEREBFEUCP · pith_short_16: HEUEREBFEUCPABNI · pith_short_8: HEUEREBF

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/HEUEREBFEUCPABNIZH5OIV2CHA \
  | 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: 39284890252504f005a8c9fae45742381f2ec73abe58e880c7031f2e7b3f7608

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13f0c246173b97311f1a9a269f7603dcd698b062039c137b03dbca141687161a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-12T14:41:27Z",
    "title_canon_sha256": "5681b27577de12b7a5f20a0b1f1e544bddf03cc07ddd2d36817c03fe42b2800c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3650",
    "kind": "arxiv",
    "version": 4
  }
}