Pith Number

pith:TUKUC52R

pith:2015:TUKUC52RWRLIHEJAE7ICRGHCAJ

not attested not anchored not stored refs pending

Critical pairs for the Product Singleton Bound

Diego Mirandola, Gilles Z\'emor

arxiv:1501.06419 v2 · 2015-01-26 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUKUC52RWRLIHEJAE7ICRGHCAJ}

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	2026-05-18T01:35:00.761131Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d15417751b45683912027d02898e2026add3564ee59bba067e515c448e7db45

Aliases

arxiv: 1501.06419 · arxiv_version: 1501.06419v2 · doi: 10.48550/arxiv.1501.06419 · pith_short_12: TUKUC52RWRLI · pith_short_16: TUKUC52RWRLIHEJA · pith_short_8: TUKUC52R

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/TUKUC52RWRLIHEJAE7ICRGHCAJ \
  | 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: 9d15417751b45683912027d02898e2026add3564ee59bba067e515c448e7db45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86087cd246f420da45c4664c307d851da3d703a4ac42ad307a4e7065e6d559fa",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-01-26T14:48:04Z",
    "title_canon_sha256": "3c96f306804454a90fcf0b578c871ae501e3f340dc0cb1b5cade43890ba5295a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06419",
    "kind": "arxiv",
    "version": 2
  }
}