Pith Number

pith:PRYFITAF

pith:2016:PRYFITAFLUJQVAOQULLYQZB7L6

not attested not anchored not stored refs pending

Compressed Dynamic Range Majority and Minority Data Structures

Gonzalo Navarro, Meng He, Travis Gagie

arxiv:1611.01835 v2 · 2016-11-06 · 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{PRYFITAFLUJQVAOQULLYQZB7L6}

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	2026-05-18T00:15:10.647480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c70544c055d130a81d0a2d788643f5fa979c0eba98be323555cdd9a8779f76d

Aliases

arxiv: 1611.01835 · arxiv_version: 1611.01835v2 · doi: 10.48550/arxiv.1611.01835 · pith_short_12: PRYFITAFLUJQ · pith_short_16: PRYFITAFLUJQVAOQ · pith_short_8: PRYFITAF

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/PRYFITAFLUJQVAOQULLYQZB7L6 \
  | 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: 7c70544c055d130a81d0a2d788643f5fa979c0eba98be323555cdd9a8779f76d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48f4be78b221e26a3244ef04c0c9ece684c08d7f6011862260b8e043f1e854d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-11-06T20:07:59Z",
    "title_canon_sha256": "54c07dfe6576c9d760344284314d829beeddab2bb6e5bf9e8b4bc7f9b09871f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01835",
    "kind": "arxiv",
    "version": 2
  }
}