Pith Number

pith:W6CZM6Q5

pith:2019:W6CZM6Q5NS3QL3E2KGAAEHA6IP

not attested not anchored not stored refs pending

Combinatorial characterization of pseudometrics

J. Luukkainen, O. Dovgoshey

arxiv:1906.07411 v3 · 2019-06-18 · 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{W6CZM6Q5NS3QL3E2KGAAEHA6IP}

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

Combinatorial properties of ultrametrics and generalized ultrametrics

Receipt and verification

First computed	2026-07-05T00:17:51.917184Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b785967a1d6cb705ec9a5180021c1e43f6e80b396c970020eeb6eb5a7cad7b68

Aliases

arxiv: 1906.07411 · arxiv_version: 1906.07411v3 · doi: 10.48550/arxiv.1906.07411 · pith_short_12: W6CZM6Q5NS3Q · pith_short_16: W6CZM6Q5NS3QL3E2 · pith_short_8: W6CZM6Q5

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/W6CZM6Q5NS3QL3E2KGAAEHA6IP \
  | 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: b785967a1d6cb705ec9a5180021c1e43f6e80b396c970020eeb6eb5a7cad7b68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d21d157d8175972e9945bf6a9e1c54f66ac1f7f71d8fb8b41bbeaee8d279627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-06-18T07:20:22Z",
    "title_canon_sha256": "7def06c8bd13e53f86ef49fdea22071ae065ab39533faad240d48aabb5038d5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.07411",
    "kind": "arxiv",
    "version": 3
  }
}