Pith Number

pith:VMIYCXBU

pith:2019:VMIYCXBUBR2QZHDXVC32XPPFEZ

not attested not anchored not stored refs pending

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

A.A.Tuzhilin, A.O.Ivanov

arxiv:1907.09942 v1 · 2019-07-22 · math.MG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMIYCXBUBR2QZHDXVC32XPPFEZ}

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.

Receipt and verification

First computed	2026-05-17T23:39:49.598237Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab11815c340c750c9c77a8b7abbde526569b88127df51d35e4651fbd0997785e

Aliases

arxiv: 1907.09942 · arxiv_version: 1907.09942v1 · doi: 10.48550/arxiv.1907.09942 · pith_short_12: VMIYCXBUBR2Q · pith_short_16: VMIYCXBUBR2QZHDX · pith_short_8: VMIYCXBU

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/VMIYCXBUBR2QZHDXVC32XPPFEZ \
  | 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: ab11815c340c750c9c77a8b7abbde526569b88127df51d35e4651fbd0997785e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60aebb976ff83bb6a5f6cddc19de88b2f195ce3b77df1388b430cf65932d55c8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-07-22T05:56:18Z",
    "title_canon_sha256": "794e0aa2f0b2bd65487505208d2cd3a426b235d8ef0f65ed2c310c87e5e711f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09942",
    "kind": "arxiv",
    "version": 1
  }
}