Pith Number

pith:Q6TVSCRD

pith:2016:Q6TVSCRDD4CEYUVFQQTR2IGOEB

not attested not anchored not stored refs pending

The complexity of downward closure comparisons

Georg Zetzsche

arxiv:1605.03149 v1 · 2016-05-10 · 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{Q6TVSCRDD4CEYUVFQQTR2IGOEB}

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	2026-05-18T01:15:07.415351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a7590a231f044c52a584271d20ce206d9ef47b86be73134ec362647e1d8575

Aliases

arxiv: 1605.03149 · arxiv_version: 1605.03149v1 · doi: 10.48550/arxiv.1605.03149 · pith_short_12: Q6TVSCRDD4CE · pith_short_16: Q6TVSCRDD4CEYUVF · pith_short_8: Q6TVSCRD

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/Q6TVSCRDD4CEYUVFQQTR2IGOEB \
  | 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: 87a7590a231f044c52a584271d20ce206d9ef47b86be73134ec362647e1d8575

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff30f524b42994673a05dee280ca2e05e572b8d633e70fab1ca800d37420fb1a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2016-05-10T18:49:09Z",
    "title_canon_sha256": "d62baa8e6114dec49916e08786713f3c4aaee176ec323d42a5453938df73a034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03149",
    "kind": "arxiv",
    "version": 1
  }
}