Pith Number

pith:ZMDIOBUQ

pith:2015:ZMDIOBUQYELGZZQSZVSG3VQQEA

not attested not anchored not stored refs pending

Unboundedness and Downward Closures of Higher-Order Pushdown Automata

C.-H. Luke Ong, Jonathan Kochems, Matthew Hague

arxiv:1507.03304 v2 · 2015-07-13 · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZMDIOBUQYELGZZQSZVSG3VQQEA}

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	2026-05-18T01:27:45.832432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb06870690c1166ce612cd646dd6102028e741a341591db6092f6a8ed1bb6c28

Aliases

arxiv: 1507.03304 · arxiv_version: 1507.03304v2 · doi: 10.48550/arxiv.1507.03304 · pith_short_12: ZMDIOBUQYELG · pith_short_16: ZMDIOBUQYELGZZQS · pith_short_8: ZMDIOBUQ

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/ZMDIOBUQYELGZZQSZVSG3VQQEA \
  | 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: cb06870690c1166ce612cd646dd6102028e741a341591db6092f6a8ed1bb6c28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0a39ae90ae02e60c6b3a20c80eea0ea5e94c9dc6e1d9096bc1c7e488a53a377",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2015-07-13T01:53:06Z",
    "title_canon_sha256": "b3db523f275f05861e779fe795cb12877335117501e10fa864a6a5b15b849c4e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03304",
    "kind": "arxiv",
    "version": 2
  }
}