Pith Number

pith:UUUF73RQ

pith:2021:UUUF73RQG76RWGMM4BCWMF2OSZ

not attested not anchored not stored refs pending

Nearly Tight Lower Bounds for Succinct Range Minimum Query

Mingmou Liu

arxiv:2111.02318 v2 · 2021-11-03 · cs.DS · 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{UUUF73RQG76RWGMM4BCWMF2OSZ}

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	2026-07-05T03:55:30.968884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5285fee3037fd1b198ce04566174e966336781f8f87a697eb8a89df1f8e646b

Aliases

arxiv: 2111.02318 · arxiv_version: 2111.02318v2 · doi: 10.48550/arxiv.2111.02318 · pith_short_12: UUUF73RQG76R · pith_short_16: UUUF73RQG76RWGMM · pith_short_8: UUUF73RQ

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/UUUF73RQG76RWGMM4BCWMF2OSZ \
  | 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: a5285fee3037fd1b198ce04566174e966336781f8f87a697eb8a89df1f8e646b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc28cb3810c5ea542e2fedfb3b93963a7efc14b5c4e570f971d1662b44cc9589",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2021-11-03T16:11:22Z",
    "title_canon_sha256": "f5adb46c8cae0beef3fd8dd353adb42a139db94a933d3032a61fc70b3e98d718"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.02318",
    "kind": "arxiv",
    "version": 2
  }
}