Pith Number

pith:OVDFP74H

pith:2014:OVDFP74HG7E3H7PRCCWGKKG34X

not attested not anchored not stored refs pending

Relative Optimality Conditions and Algorithms for Treespace Fr\'{e}chet Means

J. S. Marron, Scott Provan, Sean Skwerer

arxiv:1411.2923 v3 · 2014-10-16 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OVDFP74HG7E3H7PRCCWGKKG34X}

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	2026-05-18T00:37:57.709954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

754657ff8737c9b3fdf110ac6528dbe5decbb9c4065a5e48b9e725b73414ab18

Aliases

arxiv: 1411.2923 · arxiv_version: 1411.2923v3 · doi: 10.48550/arxiv.1411.2923 · pith_short_12: OVDFP74HG7E3 · pith_short_16: OVDFP74HG7E3H7PR · pith_short_8: OVDFP74H

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/OVDFP74HG7E3H7PRCCWGKKG34X \
  | 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: 754657ff8737c9b3fdf110ac6528dbe5decbb9c4065a5e48b9e725b73414ab18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7558d7f5dade7b222d9a61a90e71347b14715d53b3e50145d263a999609b29a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2014-10-16T12:46:54Z",
    "title_canon_sha256": "e03ef61aa7b5940f4faacfc6cff42818a3d9ab5903adb01d6e51fc9254685d2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2923",
    "kind": "arxiv",
    "version": 3
  }
}