Pith Number

pith:KNPLGYVL

pith:2014:KNPLGYVLYUYVTM25CDYIOCZPLG

not attested not anchored not stored refs pending

Isometries of two dimensional Hilbert Geometries

Marc Troyanov, Vladimir S. Matveev

arxiv:1409.5611 v1 · 2014-09-19 · 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{KNPLGYVLYUYVTM25CDYIOCZPLG}

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	2026-05-18T02:42:26.820278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

535eb362abc53159b35d10f0870b2f59ac44a3fe81d926a7ddc91d70a1d92fb3

Aliases

arxiv: 1409.5611 · arxiv_version: 1409.5611v1 · doi: 10.48550/arxiv.1409.5611 · pith_short_12: KNPLGYVLYUYV · pith_short_16: KNPLGYVLYUYVTM25 · pith_short_8: KNPLGYVL

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/KNPLGYVLYUYVTM25CDYIOCZPLG \
  | 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: 535eb362abc53159b35d10f0870b2f59ac44a3fe81d926a7ddc91d70a1d92fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26c2d74f68787baa0a22e559a1c15d0cf412f3a50405e5b99ba0ff11e8a7ba31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2014-09-19T11:46:02Z",
    "title_canon_sha256": "a71a3ed172fd14c635e7a1efb0628c4162385bc314f9fd27b01e3893dc13ebae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5611",
    "kind": "arxiv",
    "version": 1
  }
}