Pith Number

pith:V4EYK6LE

pith:2024:V4EYK6LEBJSZOPQX25MT7I643R

not attested not anchored not stored refs pending

On Mahler's conjecture for even s-concave functions in dimensions 1 and 2

Elie Nakhle, Matthieu Fradelizi

arxiv:2412.12372 v2 · 2024-12-16 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V4EYK6LEBJSZOPQX25MT7I643R}

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	2026-07-05T11:27:13.626239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af098579640a65973e17d7593fa3dcdc45deaf38e3a40ed37559c5e601d99279

Aliases

arxiv: 2412.12372 · arxiv_version: 2412.12372v2 · doi: 10.48550/arxiv.2412.12372 · pith_short_12: V4EYK6LEBJSZ · pith_short_16: V4EYK6LEBJSZOPQX · pith_short_8: V4EYK6LE

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/V4EYK6LEBJSZOPQX25MT7I643R \
  | 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: af098579640a65973e17d7593fa3dcdc45deaf38e3a40ed37559c5e601d99279

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8fa794005321e2c7c9e79b5bffb3b251e59c65179a6081f57bfe430cde33451",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2024-12-16T22:05:55Z",
    "title_canon_sha256": "5d71524e38461939ad314df063fd23fe60c86e0adbb9315c02c136c2880b1416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12372",
    "kind": "arxiv",
    "version": 2
  }
}