Pith Number

pith:WTCKU4ZC

pith:2014:WTCKU4ZCOSXTET2F54HTQJC4KO

not attested not anchored not stored refs pending

Angles, triangle inequalities, correlation matrices and metric-preserving and subadditive functions

Diego Castano, Fuzhen Zhang, Vehbi E. Paksoy

arxiv:1407.2800 v2 · 2014-07-10 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WTCKU4ZCOSXTET2F54HTQJC4KO}

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	2026-05-18T02:31:47.106350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4c4aa732274af324f45ef0f38245c53bfb806381535aeb4eb368d849b49ad39

Aliases

arxiv: 1407.2800 · arxiv_version: 1407.2800v2 · doi: 10.48550/arxiv.1407.2800 · pith_short_12: WTCKU4ZCOSXT · pith_short_16: WTCKU4ZCOSXTET2F · pith_short_8: WTCKU4ZC

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/WTCKU4ZCOSXTET2F54HTQJC4KO \
  | 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: b4c4aa732274af324f45ef0f38245c53bfb806381535aeb4eb368d849b49ad39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd7f195291e5affe13ae0a839455232cbe1f64f7941843308db8a6a30653919f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-10T14:25:23Z",
    "title_canon_sha256": "d7de56e66ffd773a09b8274aabd16978d18e06d2fdc0a1f8a7f09121b4a5c45f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2800",
    "kind": "arxiv",
    "version": 2
  }
}