Pith Number

pith:L2MC5PHE

pith:2011:L2MC5PHEDLF76YGE4AGAPBEKCT

not attested not anchored not stored refs pending

Efficient Encoding of Watermark Numbers as Reducible Permutation Graphs

Maria Chroni, Stavros D. Nikolopoulos

arxiv:1110.1194 v1 · 2011-10-06 · cs.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2MC5PHEDLF76YGE4AGAPBEKCT}

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	2026-05-18T04:11:32.566566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e982ebce41acbff60c4e00c07848a14f82c6446e574ccf84621436787b14f6e

Aliases

arxiv: 1110.1194 · arxiv_version: 1110.1194v1 · doi: 10.48550/arxiv.1110.1194 · pith_short_12: L2MC5PHEDLF7 · pith_short_16: L2MC5PHEDLF76YGE · pith_short_8: L2MC5PHE

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/L2MC5PHEDLF76YGE4AGAPBEKCT \
  | 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: 5e982ebce41acbff60c4e00c07848a14f82c6446e574ccf84621436787b14f6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42d9095b4fd25195e8f3638972ec34030db3297e976f9eec8a61c67598101535",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-10-06T09:24:51Z",
    "title_canon_sha256": "3f9b444dbe51af6762c09c894ee502881861b8803412fb5d7829b0bf32fc1a76"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1194",
    "kind": "arxiv",
    "version": 1
  }
}