Pith Number

pith:7TTOZUY6

pith:2009:7TTOZUY6VOQOV2M6D2GEBGDXRL

not attested not anchored not stored refs pending

Searching a bitstream in linear time for the longest substring of any given density

Benjamin A. Burton

arxiv:0910.3503 v2 · 2009-10-19 · 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{7TTOZUY6VOQOV2M6D2GEBGDXRL}

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	2026-05-18T04:15:06.811962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce6ecd31eaba0eae99e1e8c4098778acf650729ebafb4984ef16b2496c39664

Aliases

arxiv: 0910.3503 · arxiv_version: 0910.3503v2 · doi: 10.48550/arxiv.0910.3503 · pith_short_12: 7TTOZUY6VOQO · pith_short_16: 7TTOZUY6VOQOV2M6 · pith_short_8: 7TTOZUY6

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/7TTOZUY6VOQOV2M6D2GEBGDXRL \
  | 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: fce6ecd31eaba0eae99e1e8c4098778acf650729ebafb4984ef16b2496c39664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78e004609808b4f89aed6ea34d05cffb206c8fc37b6bd74782957edf586b3d18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2009-10-19T10:06:34Z",
    "title_canon_sha256": "afa39b77e3e2564512f5daecee1647b08ec4604710733c3d75fd08f5d768b916"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.3503",
    "kind": "arxiv",
    "version": 2
  }
}