Pith Number

pith:XKJC3SBU

pith:2018:XKJC3SBUVELIRGMKIW5K3OU6DK

not attested not anchored not stored refs pending

Approximability of the Eight-vertex Model

Jing Yu, Jin-Yi Cai, Pinyan Lu, Tianyu Liu

arxiv:1811.03126 v1 · 2018-11-07 · 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{XKJC3SBUVELIRGMKIW5K3OU6DK}

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	2026-05-18T00:01:19.045458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba922dc834a91688998a45baadba9e1abc8a0f6b406e8ae8793369cf5634826d

Aliases

arxiv: 1811.03126 · arxiv_version: 1811.03126v1 · doi: 10.48550/arxiv.1811.03126 · pith_short_12: XKJC3SBUVELI · pith_short_16: XKJC3SBUVELIRGMK · pith_short_8: XKJC3SBU

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/XKJC3SBUVELIRGMKIW5K3OU6DK \
  | 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: ba922dc834a91688998a45baadba9e1abc8a0f6b406e8ae8793369cf5634826d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f3d35ab402470e57efb260402633723f028d459d3ddc23fbcb314e1ce7672dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2018-11-07T19:43:02Z",
    "title_canon_sha256": "8406845f16d3932a49b17fb999a566be8fcc6d8172bb037d2f8dcd88e00e5710"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03126",
    "kind": "arxiv",
    "version": 1
  }
}