Pith Number

pith:LOHJ3UHA

pith:2010:LOHJ3UHAN4DYKPKZPOIOYNL4RL

not attested not anchored not stored refs pending

Understanding Space in Proof Complexity: Separations and Trade-offs via Substitutions

Eli Ben-Sasson, Jakob Nordstr\"om

arxiv:1008.1789 v1 · 2010-08-10 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOHJ3UHAN4DYKPKZPOIOYNL4RL}

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	2026-05-18T04:42:22.944507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b8e9dd0e06f07853d597b90ec357c8af34be05e13a0efbfd95c4aa6d0045313

Aliases

arxiv: 1008.1789 · arxiv_version: 1008.1789v1 · doi: 10.48550/arxiv.1008.1789 · pith_short_12: LOHJ3UHAN4DY · pith_short_16: LOHJ3UHAN4DYKPKZ · pith_short_8: LOHJ3UHA

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/LOHJ3UHAN4DYKPKZPOIOYNL4RL \
  | 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: 5b8e9dd0e06f07853d597b90ec357c8af34be05e13a0efbfd95c4aa6d0045313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c99ab38c62436dd529ec26f35ac466b5241b961328a42cbf7b2f04f7a712d36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2010-08-10T20:02:24Z",
    "title_canon_sha256": "b6c7a2a04a41d7537399378aba67c9e42d90b9a4ec1b2c2f5f389732098af03b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.1789",
    "kind": "arxiv",
    "version": 1
  }
}