Pith Number

pith:FFFDEHCU

pith:2014:FFFDEHCUL5DY3YFKWWQXR3TV5M

not attested not anchored not stored refs pending

Liouville Brownian Motion and Thick Points of the Gaussian Free Field

Henry Jackson

arxiv:1412.1705 v1 · 2014-12-04 · 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{FFFDEHCUL5DY3YFKWWQXR3TV5M}

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	2026-05-18T02:32:06.669199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

294a321c545f478de0aab5a178ee75eb3824211967ebe0360a1e6307fb6f2b67

Aliases

arxiv: 1412.1705 · arxiv_version: 1412.1705v1 · doi: 10.48550/arxiv.1412.1705 · pith_short_12: FFFDEHCUL5DY · pith_short_16: FFFDEHCUL5DY3YFK · pith_short_8: FFFDEHCU

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/FFFDEHCUL5DY3YFKWWQXR3TV5M \
  | 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: 294a321c545f478de0aab5a178ee75eb3824211967ebe0360a1e6307fb6f2b67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2bc24646bb0c7d82668a2cb533a8f1b7419457e248ac2746e749025329737a1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-12-04T15:39:22Z",
    "title_canon_sha256": "0b7d705a01c1598d363ea22db23e494ed55384eeb38284088fc5dff0a57fa39e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1705",
    "kind": "arxiv",
    "version": 1
  }
}