Pith Number

pith:FLSVUUDD

pith:2019:FLSVUUDDGYPKV55UPTC3Z4FXZQ

not attested not anchored not stored refs pending

Hausdorff and Wasserstein metrics on graphs and other structured data

Evan Patterson

arxiv:1907.00257 v2 · 2019-06-29 · math.OC · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FLSVUUDDGYPKV55UPTC3Z4FXZQ}

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	2026-05-17T23:40:43.178003Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ae55a5063361eaaf7b47cc5bcf0b7cc11a63905cbadce48ed6e2bc96b573706

Aliases

arxiv: 1907.00257 · arxiv_version: 1907.00257v2 · doi: 10.48550/arxiv.1907.00257 · pith_short_12: FLSVUUDDGYPK · pith_short_16: FLSVUUDDGYPKV55U · pith_short_8: FLSVUUDD

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/FLSVUUDDGYPKV55UPTC3Z4FXZQ \
  | 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: 2ae55a5063361eaaf7b47cc5bcf0b7cc11a63905cbadce48ed6e2bc96b573706

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7741a8736a5301424865fb46cd5d070751a247265190179457227629dbc1f1f",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2019-06-29T18:56:32Z",
    "title_canon_sha256": "0c986e9303300996b873f7340a9325e5d7e8f6089e25cdf9e562455ec6971cde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.00257",
    "kind": "arxiv",
    "version": 2
  }
}