Pith Number

pith:ZSFAQRWA

pith:2007:ZSFAQRWA43UOFQLJ67Z36CLOYQ

not attested not anchored not stored refs pending

Succinct Indexable Dictionaries with Applications to Encoding $k$-ary Trees, Prefix Sums and Multisets

Rajeev Raman, Srinivasa Rao Satti, Venkatesh Raman

arxiv:0705.0552 v1 · 2007-05-04 · cs.DS · cs.DM · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZSFAQRWA43UOFQLJ67Z36CLOYQ}

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	2026-05-18T04:15:59.765110Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc8a0846c0e6e8e2c169f7f3bf096ec40346246747e931818da5f7e6c8621284

Aliases

arxiv: 0705.0552 · arxiv_version: 0705.0552v1 · doi: 10.48550/arxiv.0705.0552 · pith_short_12: ZSFAQRWA43UO · pith_short_16: ZSFAQRWA43UOFQLJ · pith_short_8: ZSFAQRWA

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/ZSFAQRWA43UOFQLJ67Z36CLOYQ \
  | 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: cc8a0846c0e6e8e2c169f7f3bf096ec40346246747e931818da5f7e6c8621284

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "984077014589ddbb23d397c9112d0fc940a98d14f2afe5df9ab87681adb8c195",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.IT",
      "math.IT"
    ],
    "license": "",
    "primary_cat": "cs.DS",
    "submitted_at": "2007-05-04T07:47:05Z",
    "title_canon_sha256": "8b7baa038ab8668897b11ccf15f5aa03b1b0542d00c5a66510082049b1e1b32d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.0552",
    "kind": "arxiv",
    "version": 1
  }
}