Pith Number

pith:CWZXJ2SC

pith:2013:CWZXJ2SC7EC7FYF3VFJELXTQI2

not attested not anchored not stored refs pending

Multiset Codes for Permutation Channels

Dejan Vukobratovi\'c, Mladen Kova\v{c}evi\'c

arxiv:1301.7564 v1 · 2013-01-31 · 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{CWZXJ2SC7EC7FYF3VFJELXTQI2}

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	2026-05-18T03:34:49.226054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15b374ea42f905f2e0bba95245de7046b82feeaa243e155dfdbfcc9b8fb217c8

Aliases

arxiv: 1301.7564 · arxiv_version: 1301.7564v1 · doi: 10.48550/arxiv.1301.7564 · pith_short_12: CWZXJ2SC7EC7 · pith_short_16: CWZXJ2SC7EC7FYF3 · pith_short_8: CWZXJ2SC

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/CWZXJ2SC7EC7FYF3VFJELXTQI2 \
  | 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: 15b374ea42f905f2e0bba95245de7046b82feeaa243e155dfdbfcc9b8fb217c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04c046e68bef42b3853cd1c8a6d97a3722adfd8e2d77653757d481039cb7290b",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-01-31T09:48:09Z",
    "title_canon_sha256": "c5e0e1a170010ded160efb815ab8481828fa91c0e69985be12f1269f12e4da17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7564",
    "kind": "arxiv",
    "version": 1
  }
}