Pith Number

pith:2KZGVJCX

pith:2012:2KZGVJCXL3RM5RBKEGEC3PS4VJ

not attested not anchored not stored refs pending

Stochastic Combinatorial Optimization via Poisson Approximation

Jian Li, Wen Yuan

arxiv:1211.1149 v2 · 2012-11-06 · 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{2KZGVJCXL3RM5RBKEGEC3PS4VJ}

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	2026-05-18T03:30:27.743764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b26aa4575ee2cec42a21882dbe5caa4bc70fdb91a23d7cd067d3488958a64d

Aliases

arxiv: 1211.1149 · arxiv_version: 1211.1149v2 · doi: 10.48550/arxiv.1211.1149 · pith_short_12: 2KZGVJCXL3RM · pith_short_16: 2KZGVJCXL3RM5RBK · pith_short_8: 2KZGVJCX

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/2KZGVJCXL3RM5RBKEGEC3PS4VJ \
  | 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: d2b26aa4575ee2cec42a21882dbe5caa4bc70fdb91a23d7cd067d3488958a64d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8f6a859e9f3f711ffcf087e05cbec906b28b8c8110944f6afa045857024c7a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2012-11-06T09:12:49Z",
    "title_canon_sha256": "4f8a94db7fded57e4c2f1fda01bdb2c5626fdf2985a84300f00cbedf5e676a06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.1149",
    "kind": "arxiv",
    "version": 2
  }
}