Pith Number

pith:EPD2WSWG

pith:2019:EPD2WSWGIUP4HIKXUTB2E4XVFL

not attested not anchored not stored refs pending

What is actually a metric graph?

Delio Mugnolo

arxiv:1912.07549 v2 · 2019-12-16 · math.CO · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPD2WSWGIUP4HIKXUTB2E4XVFL}

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.

Cited by

1 paper in Pith

Ornstein--Uhlenbeck semigroup on rooted trees

Receipt and verification

First computed	2026-07-05T02:23:04.227908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23c7ab4ac6451fc3a157a4c3a272f52ac400b7f7fc86ae4c9c964042596726fe

Aliases

arxiv: 1912.07549 · arxiv_version: 1912.07549v2 · doi: 10.48550/arxiv.1912.07549 · pith_short_12: EPD2WSWGIUP4 · pith_short_16: EPD2WSWGIUP4HIKX · pith_short_8: EPD2WSWG

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/EPD2WSWGIUP4HIKXUTB2E4XVFL \
  | 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: 23c7ab4ac6451fc3a157a4c3a272f52ac400b7f7fc86ae4c9c964042596726fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "856bc3b06ecc1edf220dac30da028d705041c70e333f491afb6cd5408f12bd1b",
    "cross_cats_sorted": [
      "math.FA",
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-12-16T17:54:29Z",
    "title_canon_sha256": "a469bb6f3381af51056db5e5fa1ddb147475c5a2100bdece0a76a9aeb6ec604f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07549",
    "kind": "arxiv",
    "version": 2
  }
}