Pith Number

pith:2XWAUPSP

pith:2017:2XWAUPSP7JLCLTLMU6L5DKRRU7

not attested not anchored not stored refs pending

Coupling the Gaussian free fields with free and with zero boundary conditions via common level lines

Wei Qian, Wendelin Werner

arxiv:1703.04350 v3 · 2017-03-13 · math.PR · math-ph · 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{2XWAUPSP7JLCLTLMU6L5DKRRU7}

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	2026-05-18T00:00:22.680507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5ec0a3e4ffa5625cd6ca797d1aa31a7de4f39641d2283757202436a7135060e

Aliases

arxiv: 1703.04350 · arxiv_version: 1703.04350v3 · doi: 10.48550/arxiv.1703.04350 · pith_short_12: 2XWAUPSP7JLC · pith_short_16: 2XWAUPSP7JLCLTLM · pith_short_8: 2XWAUPSP

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/2XWAUPSP7JLCLTLMU6L5DKRRU7 \
  | 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: d5ec0a3e4ffa5625cd6ca797d1aa31a7de4f39641d2283757202436a7135060e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4570f53c53293e63cc72444ef8573c2b0656d637690b7e37e444ae5164497267",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-03-13T12:11:41Z",
    "title_canon_sha256": "cdc5e41fafddb1bec09b45cfaf7f61602b85639b62bd2d1e43bc322523297774"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.04350",
    "kind": "arxiv",
    "version": 3
  }
}