Pith Number

pith:34X4BAU3

pith:2015:34X4BAU36GWR3IKRSCJC4R5IUP

not attested not anchored not stored refs pending

Entropic and displacement interpolation: a computational approach using the Hilbert metric

Michele Pavon, Tryphon T. Georgiou, Yongxin Chen

arxiv:1506.04255 v1 · 2015-06-13 · math.OC · cs.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{34X4BAU36GWR3IKRSCJC4R5IUP}

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	2026-05-18T01:49:55.132121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df2fc0829bf1ad1da15190922e47a8a3d7676476c6fc3edd97281b7c9b53e382

Aliases

arxiv: 1506.04255 · arxiv_version: 1506.04255v1 · doi: 10.48550/arxiv.1506.04255 · pith_short_12: 34X4BAU36GWR · pith_short_16: 34X4BAU36GWR3IKR · pith_short_8: 34X4BAU3

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/34X4BAU36GWR3IKRSCJC4R5IUP \
  | 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: df2fc0829bf1ad1da15190922e47a8a3d7676476c6fc3edd97281b7c9b53e382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98ee4a1f4ca64ebce477587fa7f894ce71cd587fed54d814f7a0ca20121c1a40",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2015-06-13T11:26:13Z",
    "title_canon_sha256": "5bfa6cac32a3759d4ea31102b41f7d68da3a106a07bb386202d4252c88271141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.04255",
    "kind": "arxiv",
    "version": 1
  }
}