Pith Number

pith:P4BBY3QC

pith:2012:P4BBY3QCYOGTFCTGV5P3UW624M

not attested not anchored not stored refs pending

Gaussian Free Fields and KPZ Relation in R^4

Dmitry Jakobson, Linan Chen

arxiv:1210.8051 v1 · 2012-10-30 · math.PR · math-ph · math.FA · 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{P4BBY3QCYOGTFCTGV5P3UW624M}

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	2026-05-18T03:41:57.225147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f021c6e02c38d328a66af5fba5bdae328abf33257974ec5942fb0e3b7c20636

Aliases

arxiv: 1210.8051 · arxiv_version: 1210.8051v1 · doi: 10.48550/arxiv.1210.8051 · pith_short_12: P4BBY3QCYOGT · pith_short_16: P4BBY3QCYOGTFCTG · pith_short_8: P4BBY3QC

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/P4BBY3QCYOGTFCTGV5P3UW624M \
  | 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: 7f021c6e02c38d328a66af5fba5bdae328abf33257974ec5942fb0e3b7c20636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccc46b551fbbeab0ca55e78b2307a76d4c9caec151b5eaffb9df159ca18580e8",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-30T15:35:24Z",
    "title_canon_sha256": "bacd6662d4ebd0abed5f020cbfcb87353ab52d162751e39da86b27c60204282d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.8051",
    "kind": "arxiv",
    "version": 1
  }
}