Pith Number

pith:5BOHW7Y6

pith:2016:5BOHW7Y6LACVSIFQHATC7CD5BL

not attested not anchored not stored refs pending

Fine-Grained Complexity and Conditional Hardness for Sparse Graphs

Udit Agarwal, Vijaya Ramachandran

arxiv:1611.07008 v3 · 2016-11-21 · 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{5BOHW7Y6LACVSIFQHATC7CD5BL}

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	2026-05-18T00:32:31.219970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e85c7b7f1e58055920b038262f887d0ad11d4f5cd7a967f81c6f45b9716017a1

Aliases

arxiv: 1611.07008 · arxiv_version: 1611.07008v3 · doi: 10.48550/arxiv.1611.07008 · pith_short_12: 5BOHW7Y6LACV · pith_short_16: 5BOHW7Y6LACVSIFQ · pith_short_8: 5BOHW7Y6

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/5BOHW7Y6LACVSIFQHATC7CD5BL \
  | 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: e85c7b7f1e58055920b038262f887d0ad11d4f5cd7a967f81c6f45b9716017a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43d862e1f5f3330a434790369f1214c426f404040630311f7be993801effb28a",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2016-11-21T20:53:21Z",
    "title_canon_sha256": "be461670f179118f7ef173641721e1ee46f76002db52f03a51749a7850287bd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07008",
    "kind": "arxiv",
    "version": 3
  }
}