Pith Number

pith:CGV2NFA7

pith:2012:CGV2NFA74P6IMAJQRQQQKDGXIJ

not attested not anchored not stored refs pending

On ML-Certificate Linear Constraints for Rank Modulation with Linear Programming Decoding and its Application to Compact Graphs

Manabu Hagiwara

arxiv:1202.0521 v2 · 2012-02-02 · math.CO · 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{CGV2NFA74P6IMAJQRQQQKDGXIJ}

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	2026-05-18T04:03:06.175461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11aba6941fe3fc8601308c21050cd742632dad312e0cc2efbbaee7660545f70e

Aliases

arxiv: 1202.0521 · arxiv_version: 1202.0521v2 · doi: 10.48550/arxiv.1202.0521 · pith_short_12: CGV2NFA74P6I · pith_short_16: CGV2NFA74P6IMAJQ · pith_short_8: CGV2NFA7

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/CGV2NFA74P6IMAJQRQQQKDGXIJ \
  | 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: 11aba6941fe3fc8601308c21050cd742632dad312e0cc2efbbaee7660545f70e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a44f48baa97376f108b024cb1769d340b1938610a265e963c493c482e77b0019",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-02T19:23:08Z",
    "title_canon_sha256": "e9cf202fa22ae9233fdfd514b73096d599061a2a5e9d9aa33d1d60ffcb215ba4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0521",
    "kind": "arxiv",
    "version": 2
  }
}