Pith Number

pith:ZY737SK5

pith:2016:ZY737SK5W5BZNPXEYJFAV6WDUI

not attested not anchored not stored refs pending

Minimum Fill-In: Inapproximability and Almost Tight Lower Bounds

R. B. Sandeep, Yixin Cao

arxiv:1606.08141 v1 · 2016-06-27 · 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{ZY737SK5W5BZNPXEYJFAV6WDUI}

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	2026-05-18T01:11:52.678656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce3fbfc95db74396bee4c24a0afac3a215c28065d0149e6fa8a3f6b962fe9e57

Aliases

arxiv: 1606.08141 · arxiv_version: 1606.08141v1 · doi: 10.48550/arxiv.1606.08141 · pith_short_12: ZY737SK5W5BZ · pith_short_16: ZY737SK5W5BZNPXE · pith_short_8: ZY737SK5

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/ZY737SK5W5BZNPXEYJFAV6WDUI \
  | 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: ce3fbfc95db74396bee4c24a0afac3a215c28065d0149e6fa8a3f6b962fe9e57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d561da23bf0ab213a80e43029c4e801e0b24079780cb79b4e5c20dcd2234671",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-06-27T07:02:18Z",
    "title_canon_sha256": "6402be6ca2819411f59486f221023365809461946759f35797bb0c8c9d85b969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08141",
    "kind": "arxiv",
    "version": 1
  }
}