Pith Number

pith:T4BTBXHY

pith:2024:T4BTBXHYO6DGQQNUAPDN5ONEEW

not attested not anchored not stored refs pending

Entropy, slicing problem and functional Mahler's conjecture

Francisco Mar\'in Sola, Matthieu Fradelizi

arxiv:2406.07406 v1 · 2024-06-11 · math.MG · 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{T4BTBXHYO6DGQQNUAPDN5ONEEW}

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	2026-07-05T08:30:23.043739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f0330dcf877866841b403c6deb9a4259d206c48123ede494c226e7f3ee8bba2

Aliases

arxiv: 2406.07406 · arxiv_version: 2406.07406v1 · doi: 10.48550/arxiv.2406.07406 · pith_short_12: T4BTBXHYO6DG · pith_short_16: T4BTBXHYO6DGQQNU · pith_short_8: T4BTBXHY

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/T4BTBXHYO6DGQQNUAPDN5ONEEW \
  | 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: 9f0330dcf877866841b403c6deb9a4259d206c48123ede494c226e7f3ee8bba2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84afd9ae2a603ea59b478e5b21350488cffbd6ad684b11d27adc9caf84496a2f",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2024-06-11T16:11:32Z",
    "title_canon_sha256": "883fd74cf34457d6f88c290bc17eab987b19005cf83249f4150ca8a747c58e8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.07406",
    "kind": "arxiv",
    "version": 1
  }
}