Pith Number

pith:L6XVVZBS

pith:2024:L6XVVZBSOT7MH7EPSGSMXQAJII

not attested not anchored not stored refs pending

Average signature of geodesic paths in compact Lie groups

Chong Liu, Shi Wang

arxiv:2411.06760 v2 · 2024-11-11 · math.DG · 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{L6XVVZBSOT7MH7EPSGSMXQAJII}

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	2026-05-20T02:05:32.404896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5faf5ae43274fec3fc8f91a4cbc0094208153cc0f1bc9e5acb39bba81d00ddf0

Aliases

arxiv: 2411.06760 · arxiv_version: 2411.06760v2 · doi: 10.48550/arxiv.2411.06760 · pith_short_12: L6XVVZBSOT7M · pith_short_16: L6XVVZBSOT7MH7EP · pith_short_8: L6XVVZBS

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/L6XVVZBSOT7MH7EPSGSMXQAJII \
  | 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: 5faf5ae43274fec3fc8f91a4cbc0094208153cc0f1bc9e5acb39bba81d00ddf0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee43de984a0377ffcdf3d27977d8a9e194c527888dd190c0f85cf2069dea3478",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-11-11T07:28:32Z",
    "title_canon_sha256": "d725ce38c461fa0d8875bfcd337719dbf032126160010c5f1f333b337c31d297"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.06760",
    "kind": "arxiv",
    "version": 2
  }
}