Pith Number

pith:EVKEO4GE

pith:2015:EVKEO4GECSP3YWBJSKCCCXPMBQ

not attested not anchored not stored refs pending

Extremes of the supercritical Gaussian Free Field

Alberto Chiarini, Alessandra Cipriani, Rajat Subhra Hazra

arxiv:1504.07819 v4 · 2015-04-29 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EVKEO4GECSP3YWBJSKCCCXPMBQ}

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	2026-05-18T01:17:52.935698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25544770c4149fbc58299284215dec0c34b2a146dd8e05021a0ed72156edf245

Aliases

arxiv: 1504.07819 · arxiv_version: 1504.07819v4 · doi: 10.48550/arxiv.1504.07819 · pith_short_12: EVKEO4GECSP3 · pith_short_16: EVKEO4GECSP3YWBJ · pith_short_8: EVKEO4GE

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/EVKEO4GECSP3YWBJSKCCCXPMBQ \
  | 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: 25544770c4149fbc58299284215dec0c34b2a146dd8e05021a0ed72156edf245

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d9046c5718e1722b12d52cd2b30369cbed04a844e22838560b024af197ca046",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-04-29T11:48:32Z",
    "title_canon_sha256": "b0648e45e37296cfa732efc3fbd363fcd27818c969b234c5c66a9a01666fe40f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07819",
    "kind": "arxiv",
    "version": 4
  }
}