Pith Number

pith:P64WZI5E

pith:2026:P64WZI5EVXWP7MFH7URLAKDPRT

not attested not anchored not stored refs pending

Extrema of microscopically slowed-down Gaussian fields

Zuodi Xie

arxiv:2606.19207 v1 · 2026-06-17 · 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{P64WZI5EVXWP7MFH7URLAKDPRT}

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	2026-06-19T16:12:07.840576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fb96ca3a4adecffb0a7fd22b0286f8cdf6cd4ae4e36dd8b3cc7c9430dd2f49d

Aliases

arxiv: 2606.19207 · arxiv_version: 2606.19207v1 · doi: 10.48550/arxiv.2606.19207 · pith_short_12: P64WZI5EVXWP · pith_short_16: P64WZI5EVXWP7MFH · pith_short_8: P64WZI5E

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/P64WZI5EVXWP7MFH7URLAKDPRT \
  | 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: 7fb96ca3a4adecffb0a7fd22b0286f8cdf6cd4ae4e36dd8b3cc7c9430dd2f49d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8fdef00cea699b62c5593740a1c540e32f534e3a033987eb94f5e9168322bdd2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-17T15:45:08Z",
    "title_canon_sha256": "1c0730321babd65c1902265de71909984b3f220f7af14c55e7a1e53d84807f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.19207",
    "kind": "arxiv",
    "version": 1
  }
}