Pith Number

pith:TTIVIW5F

pith:2016:TTIVIW5FK4LWZMFWMM3HMVIA2F

not attested not anchored not stored refs pending

Matrix-Product Complementary dual Codes

Hualu Liu, Xiusheng Liu

arxiv:1604.03774 v1 · 2016-04-13 · 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{TTIVIW5FK4LWZMFWMM3HMVIA2F}

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	2026-05-18T01:17:11.112431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cd1545ba557176cb0b66336765500d16d0cbd16f24de2bb835b2b2c742aaaaf

Aliases

arxiv: 1604.03774 · arxiv_version: 1604.03774v1 · doi: 10.48550/arxiv.1604.03774 · pith_short_12: TTIVIW5FK4LW · pith_short_16: TTIVIW5FK4LWZMFW · pith_short_8: TTIVIW5F

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/TTIVIW5FK4LWZMFWMM3HMVIA2F \
  | 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: 9cd1545ba557176cb0b66336765500d16d0cbd16f24de2bb835b2b2c742aaaaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cee01c566e313590017079e791ced42d73c911be2cae284fbb4c4d7b617f0b4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-04-13T13:55:40Z",
    "title_canon_sha256": "1147f721e6debf2aa41140c8d8088c8d15bddd6d9bb0b6dccb7856dd05bcf4f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03774",
    "kind": "arxiv",
    "version": 1
  }
}