Pith Number

pith:3335P6P4

pith:2015:3335P6P4GNYZXXHVEAXTW2DSXK

not attested not anchored not stored refs pending

Extending Hybrid CSP with Probability and Stochasticity

Lijun Zhang, Naijun Zhan, Shuling Wang, Yu Peng

arxiv:1509.01660 v1 · 2015-09-05 · cs.LO · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3335P6P4GNYZXXHVEAXTW2DSXK}

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	2026-05-18T01:33:50.911178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

def7d7f9fc33719bdcf5202f3b6872bab4ba7460adeb3eadad88192943826ed7

Aliases

arxiv: 1509.01660 · arxiv_version: 1509.01660v1 · doi: 10.48550/arxiv.1509.01660 · pith_short_12: 3335P6P4GNYZ · pith_short_16: 3335P6P4GNYZXXHV · pith_short_8: 3335P6P4

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/3335P6P4GNYZXXHVEAXTW2DSXK \
  | 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: def7d7f9fc33719bdcf5202f3b6872bab4ba7460adeb3eadad88192943826ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eafbeb55f68c90cdacb8e2877072c4349b48e2eab5e01d5ef23fdf569750fb72",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-09-05T03:50:11Z",
    "title_canon_sha256": "bdfe1cd6a6753a371a9e77fdfd329e5794d30cfadc8c6c969f66198623475a59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.01660",
    "kind": "arxiv",
    "version": 1
  }
}