Pith Number

pith:5A74LGLR

pith:2015:5A74LGLRHBAEIYJBSYD6MDD73E

not attested not anchored not stored refs pending

On connectivity in a general random intersection graph

Jun Zhao

arxiv:1508.03890 v1 · 2015-08-17 · cs.DM · cs.SI · math.PR · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5A74LGLRHBAEIYJBSYD6MDD73E}

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	2026-05-18T01:35:14.970855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e83fc5997138404461219607e60c7fd90f1341ce21da5201c4fca22015055fba

Aliases

arxiv: 1508.03890 · arxiv_version: 1508.03890v1 · doi: 10.48550/arxiv.1508.03890 · pith_short_12: 5A74LGLRHBAE · pith_short_16: 5A74LGLRHBAEIYJB · pith_short_8: 5A74LGLR

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/5A74LGLRHBAEIYJBSYD6MDD73E \
  | 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: e83fc5997138404461219607e60c7fd90f1341ce21da5201c4fca22015055fba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "538708a45b13c84080cd47c977b5530ecc2188742bdb9a7f1805eaedf2dd10a8",
    "cross_cats_sorted": [
      "cs.SI",
      "math.PR",
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-08-17T00:56:55Z",
    "title_canon_sha256": "b7920470d0f475aade0ca923387abcc03275f39057a411fa1d8f744ef140c9cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03890",
    "kind": "arxiv",
    "version": 1
  }
}