Pith Number

pith:LIPQBN4Z

pith:2011:LIPQBN4ZS5TIGENFH5EDJA2JS3

not attested not anchored not stored refs pending

The solution space geometry of random linear equations

Dimitris Achlioptas, Michael Molloy

arxiv:1107.5550 v2 · 2011-07-27 · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LIPQBN4ZS5TIGENFH5EDJA2JS3}

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	2026-05-18T01:30:43.559385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a1f00b79997668311a53f4834834996e418a1ecc20696cc8b6547775649f93a

Aliases

arxiv: 1107.5550 · arxiv_version: 1107.5550v2 · doi: 10.48550/arxiv.1107.5550 · pith_short_12: LIPQBN4ZS5TI · pith_short_16: LIPQBN4ZS5TIGENF · pith_short_8: LIPQBN4Z

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/LIPQBN4ZS5TIGENFH5EDJA2JS3 \
  | 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: 5a1f00b79997668311a53f4834834996e418a1ecc20696cc8b6547775649f93a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20dc33af87ffc39cbd6478be0c3abc946a2520bdbbc52a10f75b41e40ef62b01",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-07-27T17:54:52Z",
    "title_canon_sha256": "3fd59a18933f50ae1f58fecdd2ea9e5b1ff8b85a0645c2a89c1a0a8bbcae4dd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.5550",
    "kind": "arxiv",
    "version": 2
  }
}