Pith Number

pith:KXXBT77D

pith:2016:KXXBT77DXJXEEN53JZ5GI3Z3UQ

not attested not anchored not stored refs pending

The Geometry of Synchronization Problems and Learning Group Actions

Jacek Brodzki, Sayan Mukherjee, Tingran Gao

arxiv:1610.09051 v3 · 2016-10-28 · math.ST · cs.CG · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KXXBT77DXJXEEN53JZ5GI3Z3UQ}

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	2026-05-17T23:46:22.221752Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55ee19ffe3ba6e4237bb4e7a646f3ba4110c0593a0d34837221e81a1e3d71ce8

Aliases

arxiv: 1610.09051 · arxiv_version: 1610.09051v3 · doi: 10.48550/arxiv.1610.09051 · pith_short_12: KXXBT77DXJXE · pith_short_16: KXXBT77DXJXEEN53 · pith_short_8: KXXBT77D

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/KXXBT77DXJXEEN53JZ5GI3Z3UQ \
  | 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: 55ee19ffe3ba6e4237bb4e7a646f3ba4110c0593a0d34837221e81a1e3d71ce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e705f3627564e3c49cadcb527f873a9c92040a019f1f7e024070cf91dfc41d",
    "cross_cats_sorted": [
      "cs.CG",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-10-28T01:20:52Z",
    "title_canon_sha256": "1256cca1e65376eaa1bc63f22b8ae93bfbbd355fd333a5b91389a55fb70dd802"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.09051",
    "kind": "arxiv",
    "version": 3
  }
}