Pith Number

pith:TPPBK4ED

pith:2016:TPPBK4EDEARZNJ4Y4F7CKIYXUS

not attested not anchored not stored refs pending

On dually almost MRD codes

Javier de la Cruz

arxiv:1612.04268 v1 · 2016-12-13 · 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{TPPBK4EDEARZNJ4Y4F7CKIYXUS}

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	2026-05-18T00:55:04.940909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bde157083202396a798e17e252317a4a4ef46495df6a692578adc2a88caf6f0

Aliases

arxiv: 1612.04268 · arxiv_version: 1612.04268v1 · doi: 10.48550/arxiv.1612.04268 · pith_short_12: TPPBK4EDEARZ · pith_short_16: TPPBK4EDEARZNJ4Y · pith_short_8: TPPBK4ED

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/TPPBK4EDEARZNJ4Y4F7CKIYXUS \
  | 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: 9bde157083202396a798e17e252317a4a4ef46495df6a692578adc2a88caf6f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f23aeb2aa95cc0a4aa529c5654c0ab03edfe8f9c9de8927ee1ce89a2581d886e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-12-13T16:24:40Z",
    "title_canon_sha256": "f537fc2ca4ac1c26a75527948b04ff1962b176a5988673ac46b1fb00ad543156"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.04268",
    "kind": "arxiv",
    "version": 1
  }
}