Pith Number

pith:6QJDT4ND

pith:2014:6QJDT4ND5XIJJF5WLAICHBVTNB

not attested not anchored not stored refs pending

Loop measures and the Gaussian free field

Gregory F. Lawler, Jacob Perlman

arxiv:1403.4285 v3 · 2014-03-17 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6QJDT4ND5XIJJF5WLAICHBVTNB}

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	2026-05-18T02:49:03.106960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f41239f1a3edd09497b658102386b36865f8ed44d53b250c7fc0da3912234fdd

Aliases

arxiv: 1403.4285 · arxiv_version: 1403.4285v3 · doi: 10.48550/arxiv.1403.4285 · pith_short_12: 6QJDT4ND5XIJ · pith_short_16: 6QJDT4ND5XIJJF5W · pith_short_8: 6QJDT4ND

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/6QJDT4ND5XIJJF5WLAICHBVTNB \
  | 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: f41239f1a3edd09497b658102386b36865f8ed44d53b250c7fc0da3912234fdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ff3d17426ca6e176f121b1b75720424b2dffdb5f342819f9a9a44767743dad9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-17T22:05:30Z",
    "title_canon_sha256": "4b75c456dc2e059ede5ed513288506884978fbbf3f838ce2b683f59f19753d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4285",
    "kind": "arxiv",
    "version": 3
  }
}