Pith Number

pith:SIZJ4C34

pith:2022:SIZJ4C34HL55QGZQSJ34UZJ67R

not attested not anchored not stored refs pending

Flows, Scaling, and Entropy Revisited: a Unified Perspective via Optimizing Joint Distributions

Jason M. Altschuler

arxiv:2210.16456 v1 · 2022-10-29 · math.OC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SIZJ4C34HL55QGZQSJ34UZJ67R}

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.

Cited by

2 papers in Pith

Log-Averaged Mirror Prox for Fast, Large-Scale Optimal Transport in Linear Space

Unlearning with Asymmetric Sources: Improved Unlearning-Utility Trade-off with Public Data

Receipt and verification

First computed	2026-07-05T05:11:46.553571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

92329e0b7c3afbd81b309277ca653efc62361f66003c446817e1174b1acc37e5

Aliases

arxiv: 2210.16456 · arxiv_version: 2210.16456v1 · doi: 10.48550/arxiv.2210.16456 · pith_short_12: SIZJ4C34HL55 · pith_short_16: SIZJ4C34HL55QGZQ · pith_short_8: SIZJ4C34

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/SIZJ4C34HL55QGZQSJ34UZJ67R \
  | 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: 92329e0b7c3afbd81b309277ca653efc62361f66003c446817e1174b1acc37e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5b4f263b84d6f0fa0c50cd02f693fc365f2b4b29fc0d226349b9a718fc92051",
    "cross_cats_sorted": [
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2022-10-29T01:04:19Z",
    "title_canon_sha256": "b18a3fc8fcaaf9a8c6a440203ac3ba9f44c97c56a5b3104b903c2b6fcb2cffb6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.16456",
    "kind": "arxiv",
    "version": 1
  }
}