Pith Number

pith:NLUBYRAD

pith:2024:NLUBYRADRTNLHM4RR2HSBFWQAC

not attested not anchored not stored refs pending

Expected Signature on a Riemannian Manifold and Its Geometric Implications

Chaorui Wang, Hao Ni, Xi Geng

arxiv:2407.13086 v1 · 2024-07-18 · 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{NLUBYRADRTNLHM4RR2HSBFWQAC}

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.

Cited by

1 paper in Pith

Average signature of geodesic paths in compact Lie groups

Receipt and verification

First computed	2026-07-05T08:45:33.235090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ae81c44038cdab3b3918e8f2096d000ae1432d872b9786351a6dd5a30f6c827

Aliases

arxiv: 2407.13086 · arxiv_version: 2407.13086v1 · doi: 10.48550/arxiv.2407.13086 · pith_short_12: NLUBYRADRTNL · pith_short_16: NLUBYRADRTNLHM4R · pith_short_8: NLUBYRAD

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/NLUBYRADRTNLHM4RR2HSBFWQAC \
  | 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: 6ae81c44038cdab3b3918e8f2096d000ae1432d872b9786351a6dd5a30f6c827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7938cdbb704a35149f0dadc3a39cedcda23cb210cf3bf95ff92fdd6c47cbd990",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-18T01:19:09Z",
    "title_canon_sha256": "f27e3434eac62d38d908048d97625b34a62099a0197760a83b85ac1630063d82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.13086",
    "kind": "arxiv",
    "version": 1
  }
}