Pith Number

pith:LR7XY3NI

pith:2015:LR7XY3NIKH226I4ERVO5KPZONR

not attested not anchored not stored refs pending

Computing Marginals Using MapReduce

Foto Afrati, Jeffrey D. Ullman, Jonathan R. Ullman, Shantanu Sharma

arxiv:1509.08855 v1 · 2015-09-29 · cs.DB

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LR7XY3NIKH226I4ERVO5KPZONR}

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	2026-05-18T01:31:46.955940Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c7f7c6da851f5af23848d5dd53f2e6c5c2ccaaa1cb7af9ff078f073be31b7cd

Aliases

arxiv: 1509.08855 · arxiv_version: 1509.08855v1 · doi: 10.48550/arxiv.1509.08855 · pith_short_12: LR7XY3NIKH22 · pith_short_16: LR7XY3NIKH226I4E · pith_short_8: LR7XY3NI

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/LR7XY3NIKH226I4ERVO5KPZONR \
  | 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: 5c7f7c6da851f5af23848d5dd53f2e6c5c2ccaaa1cb7af9ff078f073be31b7cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a797b36c59e344424be3b739cefa9da67b3440fc3a1e9e9bf1b9e626c4d7626d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DB",
    "submitted_at": "2015-09-29T17:11:30Z",
    "title_canon_sha256": "88a6eb1b81c9ef707b9cace64f1a76c0b7330979f0aff45cbc9ef95fbf58d11b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.08855",
    "kind": "arxiv",
    "version": 1
  }
}