Pith Number

pith:3ENTRT6B

pith:2011:3ENTRT6B2YI7FK6LATX4KD562K

not attested not anchored not stored refs pending

Cubes of integral vectors in dimension four

Emil W. Kiss, P\'eter Kutas

arxiv:1108.3113 v1 · 2011-08-15 · 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{3ENTRT6B2YI7FK6LATX4KD562K}

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	2026-05-18T04:15:27.933650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d91b38cfc1d611f2abcb04efc50fbed2a553e027f33925941956d8b2c56c6fb2

Aliases

arxiv: 1108.3113 · arxiv_version: 1108.3113v1 · doi: 10.48550/arxiv.1108.3113 · pith_short_12: 3ENTRT6B2YI7 · pith_short_16: 3ENTRT6B2YI7FK6L · pith_short_8: 3ENTRT6B

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/3ENTRT6B2YI7FK6LATX4KD562K \
  | 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: d91b38cfc1d611f2abcb04efc50fbed2a553e027f33925941956d8b2c56c6fb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbd439e94fb0d54c9a2ff3851c86522c34cd8f9afdb8262ad3c3be4f2045a637",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-15T22:54:20Z",
    "title_canon_sha256": "aa89c4978a12ba2ef65c5280517ee767a974c33bc33e3fee02b29d8222b704a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.3113",
    "kind": "arxiv",
    "version": 1
  }
}