Pith Number

pith:AV3JNM2K

pith:2026:AV3JNM2KJW6KBRX3F4PJB44SZD

not attested not anchored not stored refs pending

Finite-Order Hilbertian Gaussian Random Tensor Estimates

Guangqian Zhao

arxiv:2606.29292 v1 · 2026-06-28 · 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{AV3JNM2KJW6KBRX3F4PJB44SZD}

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	2026-06-30T01:18:00.496799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

057696b34a4dbca0c6fb2f1e90f392c8f72a2b917933093bfc5a00652009dede

Aliases

arxiv: 2606.29292 · arxiv_version: 2606.29292v1 · doi: 10.48550/arxiv.2606.29292 · pith_short_12: AV3JNM2KJW6K · pith_short_16: AV3JNM2KJW6KBRX3 · pith_short_8: AV3JNM2K

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/AV3JNM2KJW6KBRX3F4PJB44SZD \
  | 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: 057696b34a4dbca0c6fb2f1e90f392c8f72a2b917933093bfc5a00652009dede

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a7e515d1627744d680beee76083a26d39d9171fca50bece7c135b8d0bcf79aa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-06-28T09:27:42Z",
    "title_canon_sha256": "b6322881ebfdf07e067373b081047fd15c4058e1a1ec8f204a5b1bf89359c0a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.29292",
    "kind": "arxiv",
    "version": 1
  }
}