Pith Number

pith:RTO7QFZQ

pith:2019:RTO7QFZQD6J2NLISN3JOWEC4XK

not attested not anchored not stored refs pending

Gromov--Hausdorff Distance to Simplexes

A.A.Tuzhilin, A.O.Ivanov, D.S.Grigor'ev

arxiv:1906.09644 v1 · 2019-06-23 · math.MG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RTO7QFZQD6J2NLISN3JOWEC4XK}

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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

3 papers in Pith

Solution to Generalized Borsuk Problem in Terms of the Gromov-Hausdorff Distances to Simplexes

The Gromov-Hausdorff Distances between Simplexes and Ultrametric Spaces

The Gromov--Hausdorff Distance between Simplexes and Two-Distance Spaces

Receipt and verification

First computed	2026-05-17T23:42:37.195578Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cddf817301f93a6ad126ed2eb105cba94bf5782d68007772cd303a6f78ecacf

Aliases

arxiv: 1906.09644 · arxiv_version: 1906.09644v1 · doi: 10.48550/arxiv.1906.09644 · pith_short_12: RTO7QFZQD6J2 · pith_short_16: RTO7QFZQD6J2NLIS · pith_short_8: RTO7QFZQ

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/RTO7QFZQD6J2NLISN3JOWEC4XK \
  | 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: 8cddf817301f93a6ad126ed2eb105cba94bf5782d68007772cd303a6f78ecacf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e3a00bb5ef5e6413473e75d94d3990a8167e1106bba05e8045cc99e59f0742c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-06-23T20:22:12Z",
    "title_canon_sha256": "eb8f92886524bc24a3de78e73349495011de05a72493e75eb078e18b89e86213"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09644",
    "kind": "arxiv",
    "version": 1
  }
}