Pith Number

pith:XHYW3GUU

pith:2024:XHYW3GUUC5ZYNXVIFMLA2NLC2M

not attested not anchored not stored refs pending

Entropy factorization via curvature

Justin Salez, Pietro Caputo

arxiv:2407.13457 v2 · 2024-07-18 · math.PR · math.CO · 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{XHYW3GUUC5ZYNXVIFMLA2NLC2M}

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

Retention Profiles and KL Contraction Bounds in Finite Markov Chains

Non-Adaptive Cryptanalytic Time-Space Lower Bounds via a Shearer-like Inequality for Permutations

Receipt and verification

First computed	2026-07-05T08:48:45.757783Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f16d9a94177386dea82b160d3562d30cbd3181ecdc2162299b947ac35e4b59

Aliases

arxiv: 2407.13457 · arxiv_version: 2407.13457v2 · doi: 10.48550/arxiv.2407.13457 · pith_short_12: XHYW3GUUC5ZY · pith_short_16: XHYW3GUUC5ZYNXVI · pith_short_8: XHYW3GUU

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/XHYW3GUUC5ZYNXVIFMLA2NLC2M \
  | 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: b9f16d9a94177386dea82b160d3562d30cbd3181ecdc2162299b947ac35e4b59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8df8c8a0c205f9ee56745aa1c1a7bfe01504a526044de031347e1b38fe96f030",
    "cross_cats_sorted": [
      "math.CO",
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2024-07-18T12:33:58Z",
    "title_canon_sha256": "b94fa86dd73efc1c174ddd327c827ff96a748515f03194b53d14f219f60c5195"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.13457",
    "kind": "arxiv",
    "version": 2
  }
}