Pith Number

pith:ITCGC6IS

pith:2026:ITCGC6ISFKPQGKNHNGSDDLMNFV

not attested not anchored not stored refs pending

Binary code rate bounds via classical--quantum channels

Omar Alrabiah, Venkatesan Guruswami

arxiv:2608.09347 v1 · 2026-08-10 · cs.IT · math.CO · math.IT · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ITCGC6ISFKPQGKNHNGSDDLMNFV}

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	2026-08-11T02:22:23.978753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44c46179122a9f0329a769a431ad8d2d6a270b2f971e196f740daa15cfcf8499

Aliases

arxiv: 2608.09347 · arxiv_version: 2608.09347v1 · doi: 10.48550/arxiv.2608.09347 · pith_short_12: ITCGC6ISFKPQ · pith_short_16: ITCGC6ISFKPQGKNH · pith_short_8: ITCGC6IS

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/ITCGC6ISFKPQGKNHNGSDDLMNFV \
  | 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: 44c46179122a9f0329a769a431ad8d2d6a270b2f971e196f740daa15cfcf8499

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4cea1ffa1ba2749443500db3f87c5e75da321e375194cd29d5b33c3b83268b0",
    "cross_cats_sorted": [
      "math.CO",
      "math.IT",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-08-10T09:25:40Z",
    "title_canon_sha256": "bf7b0518ca8c058bd35459f86edd4432cba2e1648f6f3bd2031e84a63a09b07b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09347",
    "kind": "arxiv",
    "version": 1
  }
}