Pith Number

pith:XB4FMYZF

pith:2013:XB4FMYZFB6N6SDFSENR3ZRYPKI

not attested not anchored not stored refs pending

Thick points for a Gaussian Free Field in 4 dimensions

Alessandra Cipriani, Rajat Subhra Hazra

arxiv:1307.0703 v3 · 2013-07-02 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XB4FMYZFB6N6SDFSENR3ZRYPKI}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:52:32.405260Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8785663250f9be90cb22363bcc70f522fd93439dbd24a7e49fae1320e769a4b

Aliases

arxiv: 1307.0703 · arxiv_version: 1307.0703v3 · doi: 10.48550/arxiv.1307.0703 · pith_short_12: XB4FMYZFB6N6 · pith_short_16: XB4FMYZFB6N6SDFS · pith_short_8: XB4FMYZF

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/XB4FMYZFB6N6SDFSENR3ZRYPKI \
  | 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: b8785663250f9be90cb22363bcc70f522fd93439dbd24a7e49fae1320e769a4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11924b61a7267f83fbd79bfd48b690291463156790514bb2014fe9372e2b2100",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-07-02T13:37:28Z",
    "title_canon_sha256": "7ae450f467af9fd383d3577f80b3b34621ba1bde5ec0a9d5502ccecea7b5dbe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0703",
    "kind": "arxiv",
    "version": 3
  }
}