Pith Number

pith:VMDO7S4R

pith:2006:VMDO7S4RAUVETKK36H5IRQUSAG

not attested not anchored not stored refs pending

The Tree Inclusion Problem: In Linear Space and Faster

Inge Li Goertz, Philip Bille

arxiv:cs/0608124 v5 · 2006-08-31 · 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{VMDO7S4RAUVETKK36H5IRQUSAG}

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	2026-05-18T04:31:22.896310Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab06efcb91052a49a95bf1fa88c292019e41ee103b828737da8f25fa926c17b3

Aliases

arxiv: cs/0608124 · arxiv_version: cs/0608124v5 · doi: 10.48550/arxiv.cs/0608124 · pith_short_12: VMDO7S4RAUVE · pith_short_16: VMDO7S4RAUVETKK3 · pith_short_8: VMDO7S4R

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/VMDO7S4RAUVETKK36H5IRQUSAG \
  | 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: ab06efcb91052a49a95bf1fa88c292019e41ee103b828737da8f25fa926c17b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c89194a45e0234f259e5819b9b9b834d6b34c24135a7b59de512b435694f587",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2006-08-31T12:23:37Z",
    "title_canon_sha256": "d9d1d0cc48a5e1ff1cc98494bdbe24332db8a843c6e9d36237fa073a1039a4a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0608124",
    "kind": "arxiv",
    "version": 5
  }
}