Pith Number

pith:VURWS5O5

pith:2016:VURWS5O5PWOOODTG32ZXPZQNXZ

not attested not anchored not stored refs pending

Gromov--Hausdorff Distance, Irreducible Correspondences, Steiner Problem, and Minimal Fillings

Alexander Ivanov, Alexey Tuzhilin

arxiv:1604.06116 v1 · 2016-04-20 · 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{VURWS5O5PWOOODTG32ZXPZQNXZ}

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

2 papers in Pith

Gromov--Hausdorff Distance to Simplexes

The Gromov-Hausdorff Distances between Simplexes and Ultrametric Spaces

Receipt and verification

First computed	2026-05-18T01:16:32.574256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad236975dd7d9ce70e66deb377e60dbe4c1f6231fbf3ddcc1278450b3b32e22f

Aliases

arxiv: 1604.06116 · arxiv_version: 1604.06116v1 · doi: 10.48550/arxiv.1604.06116 · pith_short_12: VURWS5O5PWOO · pith_short_16: VURWS5O5PWOOODTG · pith_short_8: VURWS5O5

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/VURWS5O5PWOOODTG32ZXPZQNXZ \
  | 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: ad236975dd7d9ce70e66deb377e60dbe4c1f6231fbf3ddcc1278450b3b32e22f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0631c6aae23ac29ff983f5f2ef26c872e4dd71292774c7860ee9ead894a99cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-04-20T20:28:59Z",
    "title_canon_sha256": "32d51ceb3bf4c6afd09a2fdc5b018994a5f62442cc4c8695135085fe6b785fc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06116",
    "kind": "arxiv",
    "version": 1
  }
}