Pith Number

pith:OI6A7UUA

pith:2012:OI6A7UUAWWIJOU77YAR7OLPZYT

not attested not anchored not stored refs pending

Data Structure Lower Bounds on Random Access to Grammar-Compressed Strings

Elad Verbin, Shiteng Chen, Wei Yu

arxiv:1203.1080 v2 · 2012-03-06 · cs.CC · 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{OI6A7UUAWWIJOU77YAR7OLPZYT}

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	2026-05-18T03:56:33.755405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

723c0fd280b5909753ffc023f72df9c4e6ba8c1e6e575738ecdbfda8c83d1143

Aliases

arxiv: 1203.1080 · arxiv_version: 1203.1080v2 · doi: 10.48550/arxiv.1203.1080 · pith_short_12: OI6A7UUAWWIJ · pith_short_16: OI6A7UUAWWIJOU77 · pith_short_8: OI6A7UUA

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/OI6A7UUAWWIJOU77YAR7OLPZYT \
  | 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: 723c0fd280b5909753ffc023f72df9c4e6ba8c1e6e575738ecdbfda8c83d1143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4671e4ef121525c047a319de1acb2fdbb763aa38c35e3f98efa19e5285b56144",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-03-06T00:52:14Z",
    "title_canon_sha256": "611bc70e0c026b8163f4195c618e00d5eb0f4d1d415a7f06ac4b864b627dcf79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1080",
    "kind": "arxiv",
    "version": 2
  }
}