Pith Number

pith:LWMMUZV6

pith:2016:LWMMUZV6NDAIOUJICG3YMCQ27X

not attested not anchored not stored refs pending

The Entropy Region is not Closed Under Duality

Tarik Kaced

arxiv:1611.04109 v1 · 2016-11-13 · 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{LWMMUZV6NDAIOUJICG3YMCQ27X}

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	2026-05-18T00:59:17.511053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d98ca66be68c087512811b7860a1afdd20c978f6dbfdeac2be978956ea0adbb

Aliases

arxiv: 1611.04109 · arxiv_version: 1611.04109v1 · doi: 10.48550/arxiv.1611.04109 · pith_short_12: LWMMUZV6NDAI · pith_short_16: LWMMUZV6NDAIOUJI · pith_short_8: LWMMUZV6

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/LWMMUZV6NDAIOUJICG3YMCQ27X \
  | 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: 5d98ca66be68c087512811b7860a1afdd20c978f6dbfdeac2be978956ea0adbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6c78ec6d213a9132aba9bdc029e1a428bdc3eb51c09b10a8edfafac7616611e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-11-13T10:38:31Z",
    "title_canon_sha256": "b6d6dec1ddd4eb2e37ba1f5039a24511fd6c81417563ddb5d9b7d817fdd72ab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04109",
    "kind": "arxiv",
    "version": 1
  }
}