Pith Number

pith:JTGGPRXQ

pith:2013:JTGGPRXQA3GI4YVMJAK36ZKCFL

not attested not anchored not stored refs pending

Geometric Ruzsa triangle inequality in metric spaces with dilations

Marius Buliga

arxiv:1304.3358 v2 · 2013-04-11 · math.CO · 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{JTGGPRXQA3GI4YVMJAK36ZKCFL}

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	2026-05-18T01:04:09.696552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ccc67c6f006cc8e62ac4815bf65422af1c74406974d131b8013298d85c64d16

Aliases

arxiv: 1304.3358 · arxiv_version: 1304.3358v2 · doi: 10.48550/arxiv.1304.3358 · pith_short_12: JTGGPRXQA3GI · pith_short_16: JTGGPRXQA3GI4YVM · pith_short_8: JTGGPRXQ

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/JTGGPRXQA3GI4YVMJAK36ZKCFL \
  | 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: 4ccc67c6f006cc8e62ac4815bf65422af1c74406974d131b8013298d85c64d16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc392fe12522ecd0ef9dc423cc4933b61dae99f9310ac54a565164003944560b",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-04-11T16:22:28Z",
    "title_canon_sha256": "71a4b8dcc7e36e558d2c79f5781885bab9b032ab415008ae187a4445ebe95653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3358",
    "kind": "arxiv",
    "version": 2
  }
}