Pith Number

pith:SQS3ZNOX

pith:2016:SQS3ZNOXOUEPUNQFLUAD53RAVJ

not attested not anchored not stored refs pending

How to compute the barycenter of a weighted graph

Ioana Gavra, Laurent Risser, S\'ebastien Gadat

arxiv:1605.04148 v1 · 2016-05-13 · math.PR · math.OC · math.ST · 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{SQS3ZNOXOUEPUNQFLUAD53RAVJ}

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	2026-05-18T01:14:54.183231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9425bcb5d77508fa36055d003eee20aa59d61696be915ed8253d3f5543c82ee6

Aliases

arxiv: 1605.04148 · arxiv_version: 1605.04148v1 · doi: 10.48550/arxiv.1605.04148 · pith_short_12: SQS3ZNOXOUEP · pith_short_16: SQS3ZNOXOUEPUNQF · pith_short_8: SQS3ZNOX

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/SQS3ZNOXOUEPUNQFLUAD53RAVJ \
  | 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: 9425bcb5d77508fa36055d003eee20aa59d61696be915ed8253d3f5543c82ee6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4098cb45dcb19c13c8a98a1d6ce4f465ef791ce5a26d8242376e8991a2cca6b5",
    "cross_cats_sorted": [
      "math.OC",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-13T12:17:18Z",
    "title_canon_sha256": "91b9105a4a53eb924df6da10a0b6e9bd49d575a3e1cf9e343124e60420330282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.04148",
    "kind": "arxiv",
    "version": 1
  }
}