Pith Number

pith:4SRPWYHS

pith:2013:4SRPWYHSVTKMYGMHUACK6QBI34

not attested not anchored not stored refs pending

#BIS-Hardness for 2-Spin Systems on Bipartite Bounded Degree Graphs in the Tree Nonuniqueness Region

Andreas Galanis, Daniel Stefankovic, Eric Vigoda, Heng Guo, Jin-Yi Cai, Leslie Ann Goldberg, Mark Jerrum

arxiv:1311.4451 v4 · 2013-11-18 · 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{4SRPWYHSVTKMYGMHUACK6QBI34}

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	2026-05-18T01:13:31.276234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4a2fb60f2acd4cc1987a004af4028df2ce2bf623d81fbad8d94bb762ad3f490

Aliases

arxiv: 1311.4451 · arxiv_version: 1311.4451v4 · doi: 10.48550/arxiv.1311.4451 · pith_short_12: 4SRPWYHSVTKM · pith_short_16: 4SRPWYHSVTKMYGMH · pith_short_8: 4SRPWYHS

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/4SRPWYHSVTKMYGMHUACK6QBI34 \
  | 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: e4a2fb60f2acd4cc1987a004af4028df2ce2bf623d81fbad8d94bb762ad3f490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b2b786841c0029c816772e26156c866b28312fbe3b4fca6ab3ccb05fe024e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2013-11-18T17:03:51Z",
    "title_canon_sha256": "b1fc7b2105d23b4c1e9ec3b9c18ed74dae09a955bf9ba5d163251b7723edf272"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4451",
    "kind": "arxiv",
    "version": 4
  }
}