Pith Number

pith:3AR62TR2

pith:2026:3AR62TR2SDD4XG6526W47OTRU5

not attested not anchored not stored refs pending

Maximum Entropy is a 10/7-Approximation Algorithm for the TSP on Half-Integral Cycle Cut Instances

Billy Jin, David P. Williamson, Nathan Klein

arxiv:2607.01536 v1 · 2026-07-01 · 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{3AR62TR2SDD4XG6526W47OTRU5}

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	2026-07-03T00:17:03.412605Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d823ed4e3a90c7cb9bddd7adcfba71a74110329b4796e56d3b7d20780dbbadb7

Aliases

arxiv: 2607.01536 · arxiv_version: 2607.01536v1 · doi: 10.48550/arxiv.2607.01536 · pith_short_12: 3AR62TR2SDD4 · pith_short_16: 3AR62TR2SDD4XG65 · pith_short_8: 3AR62TR2

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/3AR62TR2SDD4XG6526W47OTRU5 \
  | 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: d823ed4e3a90c7cb9bddd7adcfba71a74110329b4796e56d3b7d20780dbbadb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e416828bea05f894982aa13a1a63a1eba4f98b8cef37590691d0b600d79a646c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2026-07-01T23:32:15Z",
    "title_canon_sha256": "68423b91b9a785b90d96339d1ba69eca7133d85d6d0537017796e0d6c1b3f2b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01536",
    "kind": "arxiv",
    "version": 1
  }
}