Pith Number

pith:ZZVXYQZW

pith:2015:ZZVXYQZW26MTA7O2ZNLTQQIMZ5

not attested not anchored not stored refs pending

Deterministic and Ensemble-Based Spatially-Coupled Product Codes

Alexandre Graell i Amat, Christian H\"ager, Fredrik Br\"annstr\"om, Henry D. Pfister

arxiv:1512.09180 v3 · 2015-12-30 · 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{ZZVXYQZW26MTA7O2ZNLTQQIMZ5}

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	2026-05-18T01:16:06.733122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce6b7c4336d799307ddacb5738410ccf4d4c01e77c87f3db0cb3f623cab03040

Aliases

arxiv: 1512.09180 · arxiv_version: 1512.09180v3 · doi: 10.48550/arxiv.1512.09180 · pith_short_12: ZZVXYQZW26MT · pith_short_16: ZZVXYQZW26MTA7O2 · pith_short_8: ZZVXYQZW

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/ZZVXYQZW26MTA7O2ZNLTQQIMZ5 \
  | 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: ce6b7c4336d799307ddacb5738410ccf4d4c01e77c87f3db0cb3f623cab03040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1db5708e1861ed8003e40525d8ce8ff975744a5cc385c32b4066f63e8b2d76e6",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2015-12-30T23:11:50Z",
    "title_canon_sha256": "f3573788434d01fd4811d611fef819dd3009755e2d79cb7e430d035316aacee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.09180",
    "kind": "arxiv",
    "version": 3
  }
}