Pith Number

pith:Y4JUJU6C

pith:2015:Y4JUJU6CWNKQ744YTYL7QS5Q47

not attested not anchored not stored refs pending

A new topological entropy-based approach for measuring similarities among piecewise linear functions

Andrea Ferrante, Cristina Cristalli, Emanuela Merelli, Enrico Concettoni, Maria-Jose Jimenez, Matteo Rucco, Nieves Atienza, Rocio Gonzalez-Diaz

arxiv:1512.07613 v2 · 2015-12-23 · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y4JUJU6CWNKQ744YTYL7QS5Q47}

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	2026-05-18T01:03:30.913352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c71344d3c2b3550ff3989e17f84bb0e7c4b8e33f6ccc20f1ce5aefc7a8c961e5

Aliases

arxiv: 1512.07613 · arxiv_version: 1512.07613v2 · doi: 10.48550/arxiv.1512.07613 · pith_short_12: Y4JUJU6CWNKQ · pith_short_16: Y4JUJU6CWNKQ744Y · pith_short_8: Y4JUJU6C

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/Y4JUJU6CWNKQ744YTYL7QS5Q47 \
  | 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: c71344d3c2b3550ff3989e17f84bb0e7c4b8e33f6ccc20f1ce5aefc7a8c961e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7130dacce7037de6bbd1991fac7c231e07b54c070d0d64e70cc9c71cc5a6286f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-12-23T20:12:14Z",
    "title_canon_sha256": "4e952e1f920a8253398020f6c3793a0c1279186543da2882117533c10bf5927a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07613",
    "kind": "arxiv",
    "version": 2
  }
}