Pith Number

pith:YT2MLIA3

pith:2018:YT2MLIA3JI6L6CH5WGEMXSONYP

not attested not anchored not stored refs pending

A Lifting method for analyzing distributed synchronization on the unit sphere

Florian Bernard, Johan Markdahl, Johan Thunberg, Jorge Goncalves

arxiv:1805.02528 v2 · 2018-05-07 · math.OC · cs.MA · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YT2MLIA3JI6L6CH5WGEMXSONYP}

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	2026-05-18T00:13:59.706307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f4c5a01b4a3cbf08fdb188cbc9cdc3c3d10d63d17bb997c68664503fbd6a31

Aliases

arxiv: 1805.02528 · arxiv_version: 1805.02528v2 · doi: 10.48550/arxiv.1805.02528 · pith_short_12: YT2MLIA3JI6L · pith_short_16: YT2MLIA3JI6L6CH5 · pith_short_8: YT2MLIA3

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/YT2MLIA3JI6L6CH5WGEMXSONYP \
  | 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: c4f4c5a01b4a3cbf08fdb188cbc9cdc3c3d10d63d17bb997c68664503fbd6a31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e571c3c19db1691819433405f47d801a0eb8b5db6b447f023d8a43566738e085",
    "cross_cats_sorted": [
      "cs.MA",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2018-05-07T13:50:09Z",
    "title_canon_sha256": "f92412b30de6dbac625336a2eef09a28f5f200ee06cd11b5e4fcc37286fb5110"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.02528",
    "kind": "arxiv",
    "version": 2
  }
}