Pith Number

pith:GLHC2ULY

pith:2019:GLHC2ULYUYZA6TNII3NOV3WKZ6

not attested not anchored not stored refs pending

The triangle inequality for graded real vector spaces

Keng Wiboonton, Songpon Sriwongsa

arxiv:1903.06545 v2 · 2019-03-14 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLHC2ULYUYZA6TNII3NOV3WKZ6}

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	2026-07-05T08:38:49.506132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32ce2d5178a6320f4da846daeaeecacfaf7ee4fa73195403c436190c00db5ece

Aliases

arxiv: 1903.06545 · arxiv_version: 1903.06545v2 · doi: 10.48550/arxiv.1903.06545 · pith_short_12: GLHC2ULYUYZA · pith_short_16: GLHC2ULYUYZA6TNI · pith_short_8: GLHC2ULY

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/GLHC2ULYUYZA6TNII3NOV3WKZ6 \
  | 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: 32ce2d5178a6320f4da846daeaeecacfaf7ee4fa73195403c436190c00db5ece

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1d6e7a0d783095c391ee1f881efa962667674f0b8d11269cdce10eaa4f44f83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2019-03-14T14:18:34Z",
    "title_canon_sha256": "3498adb5ed13c89f1f52a4010ce47dc2bd07263cfd7aa24258dc1846d67c8918"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.06545",
    "kind": "arxiv",
    "version": 2
  }
}