Pith Number

pith:ENUX7QYW

pith:2017:ENUX7QYWCAU3UOM2TV6MGF73GI

not attested not anchored not stored refs pending

The Hardness of Embedding Grids and Walls

Bingkai Lin, Martin Grohe, Yijia Chen

arxiv:1703.06423 v1 · 2017-03-19 · 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{ENUX7QYWCAU3UOM2TV6MGF73GI}

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	2026-05-18T00:48:22.930561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23697fc3161029ba399a9d7cc317fb32302d271fe50cc2dfbd20e591a0f61049

Aliases

arxiv: 1703.06423 · arxiv_version: 1703.06423v1 · doi: 10.48550/arxiv.1703.06423 · pith_short_12: ENUX7QYWCAU3 · pith_short_16: ENUX7QYWCAU3UOM2 · pith_short_8: ENUX7QYW

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/ENUX7QYWCAU3UOM2TV6MGF73GI \
  | 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: 23697fc3161029ba399a9d7cc317fb32302d271fe50cc2dfbd20e591a0f61049

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89458d5c158c5e13c5f1b90d5e49fc66d89132335dc5ba1b9be5e47106e62683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2017-03-19T11:24:26Z",
    "title_canon_sha256": "6d636d6a8dfb3c677f49532c24cfab18555ab93d6099ef3df75e1660eb286d60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.06423",
    "kind": "arxiv",
    "version": 1
  }
}