Pith Number

pith:5YP3MT7A

pith:2016:5YP3MT7A5JEQXC3EA77Z5PKLQU

not attested not anchored not stored refs pending

Who Invented the Gromov-Hausdorff Distance?

Alexey A. Tuzhilin

arxiv:1612.00728 v1 · 2016-12-01 · math.MG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YP3MT7A5JEQXC3EA77Z5PKLQU}

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

Contractibility of the space of $\varepsilon$-nets in $\mathbb{R}$

Receipt and verification

First computed	2026-05-18T00:55:53.993496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee1fb64fe0ea490b8b6407ff9ebd4b85046ad5f8ff7abe352270cb3bf2066fd7

Aliases

arxiv: 1612.00728 · arxiv_version: 1612.00728v1 · doi: 10.48550/arxiv.1612.00728 · pith_short_12: 5YP3MT7A5JEQ · pith_short_16: 5YP3MT7A5JEQXC3E · pith_short_8: 5YP3MT7A

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/5YP3MT7A5JEQXC3EA77Z5PKLQU \
  | 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: ee1fb64fe0ea490b8b6407ff9ebd4b85046ad5f8ff7abe352270cb3bf2066fd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85f1833ef62df624d80f9b6e858ed5721d1b2054fcef77cf9b5a2af54e7feaa2",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2016-12-01T20:33:10Z",
    "title_canon_sha256": "e6c198a0b4ae0828dd8516ac9cc97fac2ee0c707902695201a8c626ded71c21d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00728",
    "kind": "arxiv",
    "version": 1
  }
}