Pith Number

pith:CAGRAY3M

pith:2015:CAGRAY3M2JPVFCY57HHF66T4RC

not attested not anchored not stored refs pending

Projective distance and $g$-measures

Edgardo Ugalde, Liliana Trejo-Valencia

arxiv:1503.00749 v1 · 2015-03-02 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CAGRAY3M2JPVFCY57HHF66T4RC}

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	2026-05-18T02:25:48.504982Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

100d10636cd25f528b1df9ce5f7a7c88820694ebf6ed8c05697564234aaee57a

Aliases

arxiv: 1503.00749 · arxiv_version: 1503.00749v1 · doi: 10.48550/arxiv.1503.00749 · pith_short_12: CAGRAY3M2JPV · pith_short_16: CAGRAY3M2JPVFCY5 · pith_short_8: CAGRAY3M

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/CAGRAY3M2JPVFCY57HHF66T4RC \
  | 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: 100d10636cd25f528b1df9ce5f7a7c88820694ebf6ed8c05697564234aaee57a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09a3c15550e70181dd2ed55eccf9b6fd6e3c78b22718434896547a8d2d0fbe8b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-03-02T21:19:39Z",
    "title_canon_sha256": "b974adc9a33de3d144539c51b6bd8bf14437b53f52653702e04557528853112c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00749",
    "kind": "arxiv",
    "version": 1
  }
}