Pith Number

pith:4OVJYQ5F

pith:2021:4OVJYQ5F52SAZNEB4R43CKX73F

not attested not anchored not stored refs pending

Bridge Simulation and Metric Estimation on Lie Groups and Homogeneous Spaces

Lennard Hilgendorf, Mathias H{\o}jgaard Jensen, Sarang Joshi, Stefan Sommer

arxiv:2112.00866 v2 · 2021-12-01 · stat.CO · math.PR · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4OVJYQ5F52SAZNEB4R43CKX73F}

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	2026-07-05T04:25:50.046075Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3aa9c43a5eea40cb481e479b12affd965ad4fa024caa9a9e6d20e044d41a8ae

Aliases

arxiv: 2112.00866 · arxiv_version: 2112.00866v2 · doi: 10.48550/arxiv.2112.00866 · pith_short_12: 4OVJYQ5F52SA · pith_short_16: 4OVJYQ5F52SAZNEB · pith_short_8: 4OVJYQ5F

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/4OVJYQ5F52SAZNEB4R43CKX73F \
  | 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: e3aa9c43a5eea40cb481e479b12affd965ad4fa024caa9a9e6d20e044d41a8ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f057dfe267ca929da4d9db0b8ef6743d034bc88f7d88a861b0939d75edb29ec",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ME"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2021-12-01T22:37:04Z",
    "title_canon_sha256": "ab33bb11426d5bc1208226de84e2c9e52e07cb7aefb4ffb3eb45f8d494cd3640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.00866",
    "kind": "arxiv",
    "version": 2
  }
}