Pith Number

pith:RJAIYNVK

pith:2024:RJAIYNVKNYOA63ZBAW3KGY4ZPC

not attested not anchored not stored refs pending

Invariant Sublinear Expectations

Yongsheng Song

arxiv:2411.14177 v1 · 2024-11-21 · 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{RJAIYNVKNYOA63ZBAW3KGY4ZPC}

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	2026-07-05T09:38:42.772364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a408c36aa6e1c0f6f2105b6a36399789cf649adddd3e8164ba395ac2e7c7bc8

Aliases

arxiv: 2411.14177 · arxiv_version: 2411.14177v1 · doi: 10.48550/arxiv.2411.14177 · pith_short_12: RJAIYNVKNYOA · pith_short_16: RJAIYNVKNYOA63ZB · pith_short_8: RJAIYNVK

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/RJAIYNVKNYOA63ZBAW3KGY4ZPC \
  | 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: 8a408c36aa6e1c0f6f2105b6a36399789cf649adddd3e8164ba395ac2e7c7bc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1360f8a54c8508a3403060ce55102f7e019a9675d38b198dadde2140cd6a6695",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-11-21T14:40:05Z",
    "title_canon_sha256": "4dd5ce85a170501fb3143239af7745606d28f97975c37afd48a4699bd0f6ba10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14177",
    "kind": "arxiv",
    "version": 1
  }
}