Pith Number

pith:PMXMCUTI

pith:2025:PMXMCUTIAWDDM4SRKTIYWRR3HO

not attested not anchored not stored refs pending

Cheng's eigenvalue comparison on metric measure spaces and applications

Alessandro Tomasiello, Andrea Mondino, G. Bruno De Luca, Nicol\`o De Ponti

arxiv:2507.23671 v2 · 2025-07-31 · math.SP · hep-th · math.DG · 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{PMXMCUTIAWDDM4SRKTIYWRR3HO}

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

Alice in Warpland: KK modes, Warped Compactifications and the Swampland

Optimal paths across potentials on scalar field space

Receipt and verification

First computed	2026-07-05T11:48:28.086801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2ec15268058636725154d18b463b3bb8f153aaaca7b8cab8dd05e8deebf25d

Aliases

arxiv: 2507.23671 · arxiv_version: 2507.23671v2 · doi: 10.48550/arxiv.2507.23671 · pith_short_12: PMXMCUTIAWDD · pith_short_16: PMXMCUTIAWDDM4SR · pith_short_8: PMXMCUTI

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/PMXMCUTIAWDDM4SRKTIYWRR3HO \
  | 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: 7b2ec15268058636725154d18b463b3bb8f153aaaca7b8cab8dd05e8deebf25d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c22d3533366687bfc720ddc3f4784055d0396f88b47887e3adb094384d291099",
    "cross_cats_sorted": [
      "hep-th",
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-07-31T15:49:18Z",
    "title_canon_sha256": "7eab966609c9ced5940a77098007c4d69bf1603d43fb3762e23385e9adcd0523"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23671",
    "kind": "arxiv",
    "version": 2
  }
}