Pith Number

pith:PJJ4KTYN

pith:2012:PJJ4KTYNFNJ2LHDHIZJPO64E6G

not attested not anchored not stored refs pending

Statistical mechanical evaluation of spread spectrum watermarking model with image restoration

Kao Hayashi, Masaki Kawamura, Masato Okada, Tatsuya Uezu

arxiv:1209.4772 v4 · 2012-09-21 · cond-mat.stat-mech · 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{PJJ4KTYNFNJ2LHDHIZJPO64E6G}

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	2026-05-17T23:42:09.208672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a53c54f0d2b53a59c674652f77b84f19c1c02161728e8cc37553848184b7437

Aliases

arxiv: 1209.4772 · arxiv_version: 1209.4772v4 · doi: 10.48550/arxiv.1209.4772 · pith_short_12: PJJ4KTYNFNJ2 · pith_short_16: PJJ4KTYNFNJ2LHDH · pith_short_8: PJJ4KTYN

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/PJJ4KTYNFNJ2LHDHIZJPO64E6G \
  | 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: 7a53c54f0d2b53a59c674652f77b84f19c1c02161728e8cc37553848184b7437

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71e86a82746b89ae1e76925346fbe5d79c5e0089eb8618dcd1551370f25e0239",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2012-09-21T10:15:04Z",
    "title_canon_sha256": "c66d7e5d9c6195f5a05aa2968761cb4ad30c2fbfb3f27144fb7a42f4072c61b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4772",
    "kind": "arxiv",
    "version": 4
  }
}