Pith Number

pith:WCTQOYYG

pith:2017:WCTQOYYG7U6WPGJZ2RRBNPAU4M

not attested not anchored not stored refs pending

Local incompressibility estimates for the Laughlin phase

Elliott Lieb, Jakob Yngvason, Nicolas Rougerie (LPMMC)

arxiv:1701.09064 v3 · 2017-01-31 · math-ph · cond-mat.mes-hall · cond-mat.quant-gas · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WCTQOYYG7U6WPGJZ2RRBNPAU4M}

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	2026-05-18T00:09:31.431581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0a7076306fd3d679939d46216bc14e3344f43627e3442e848e76fed3b5764b5

Aliases

arxiv: 1701.09064 · arxiv_version: 1701.09064v3 · doi: 10.48550/arxiv.1701.09064 · pith_short_12: WCTQOYYG7U6W · pith_short_16: WCTQOYYG7U6WPGJZ · pith_short_8: WCTQOYYG

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/WCTQOYYG7U6WPGJZ2RRBNPAU4M \
  | 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: b0a7076306fd3d679939d46216bc14e3344f43627e3442e848e76fed3b5764b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d8042b07127cdb3d94c746a7e0eb995741f0a06ca24501627faebcc367bddc8",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.quant-gas",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-31T14:45:06Z",
    "title_canon_sha256": "4b213acbddceffefd33ea966514cfde1e4c1dffa09e738c2b4317ea92451ffac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.09064",
    "kind": "arxiv",
    "version": 3
  }
}